## Argyros, Ioannis Konstantinos

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 Author ID: argyros.ioannis-konstantinos Published as: Argyros, Ioannis K.; Argyros, I. K.; Argyros, Ioannis Konstantinos; Argyros, Ioannis; Argyros, I.; Argyros, Ioannis K. I.; Argyros, Ioannis. K.; Argyros, Ioannis A.; Argyros, K. External Links: MGP · ORCID · Google Scholar · dblp · GND
 Documents Indexed: 1,145 Publications since 1985, including 19 Books 1 Contribution as Editor Reviewing Activity: 6 Reviews Co-Authors: 101 Co-Authors with 612 Joint Publications 2,602 Co-Co-Authors
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### Co-Authors

 531 single-authored 166 George, Santhosh 135 Hilout, Saïd 60 Magreñán, Ángel Alberto 38 Ren, Hongmin 28 Khattri, Sanjay K. 23 Anastassiou, George Angelos 23 Cho, Yeol Je 22 Behl, Ramandeep 18 Chen, Dong 15 Sharma, Janak Raj 14 González, Daniel 13 Szidarovszky, Ferenc P. 12 Motsa, Sandile Sydney 12 Verma, Ram U. 11 Amat, Sergio P. 11 Hernández-Verón, Miguel Ángel 11 Sicilia, Juan Antonio 10 Kumar, Deepak 9 Busquier, Sonia 9 Shakhno, Stepan Mykhaĭlovych 9 Tabatabai, Muhammad A. 8 Uko, Livinus Ugochukwu 7 Ezquerro, José Antonio 7 Gutiérrez, José Manuel 7 Jidesh, P. 7 Kansal, Munish 6 Alshomrani, Ali Saleh 6 Cătinaş, Emil 6 Erappa, Shobha Monnanda 6 Kanwar, Vinay 6 Kumar, Sunil 6 Parhi, Sanjaya Kumar 6 Păvăloiu, Ion 6 Sharma, Debasis 5 Cordero, Alicia 5 Orcos, Lara 5 Torregrosa Sanchez, Juan Ramón 4 Argyros, Gus 4 Argyros, Michael 4 Hernández, Miguel Ángel 4 Kumar Khattri, Sanjay 4 Romero, Natalia 4 Salahuddin 4 Sarría, Ínigo 4 Sunanda, Shanta Kumari 4 Yarmola, Halyna 3 Argyros, Christopher I. 3 Chen, Jinhai 3 Losta, Mansor M. 3 Machado, José António Tenreiro 3 Plaza, Sergio 3 Qian, Qingshan 3 Santhosh, George 3 Shobha, Monnanda Erappa 3 Silva, Gilson N. 2 Agarwal, Ravi P. 2 Bhalla, Sonia 2 Martínez, Eulalia 2 Moreno, Daniel 2 Rubio, María Jesús 2 Sahu, Daya Ram 2 Sreedeep, C. D. 2 Yáñez, Dionisio F. 2 Yarmola, H. P. 1 Alreshidi, Nasser Aedh 1 Alshormani, Ali Saleh 1 Amiri, Abdolreza 1 Argyros, M. I. 1 Bajaj, Sugandha 1 Bala Abubakar, Auwal 1 Bi, Weihong 1 Chen, Don 1 Chun, Changbum 1 Deepho, Jitsupa 1 Giménez, Elena 1 Huang, Zhengda 1 Iakymchuk, R. P. 1 Kim, Young Ik 1 Kumam, Poom 1 Kumar, Amit 1 Kunhanandan, M. 1 Legaz, María José 1 Mahapatra, M. S. 1 Mahrt, L. F. 1 Malik, Maulana 1 Mallawi, Fouad Othman 1 Măruşter, Ştefan 1 Moysi, A. 1 Petrot, Narin 1 Qian, Quingshan 1 Qin, Xiaolong 1 Rainer, J. J. 1 Rehman, Habib Ur 1 Senapati, Kedarnath 1 Shunkin, Yuriy 1 Silva, Gilson do Nascimento 1 Soleymani, Fazlollah 1 Uko, Livius U. 1 Vela, A. I. 1 Wu, Long ...and 1 more Co-Authors
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### Serials

 77 Advances in Nonlinear Variational Inequalities 63 Applied Mathematics and Computation 47 Applicationes Mathematicae 45 Panamerican Mathematical Journal 43 Journal of Computational and Applied Mathematics 40 Communications on Applied Nonlinear Analysis 34 Journal of Mathematics. The Punjab University 34 Nonlinear Functional Analysis and Applications 30 Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza. Serie 2 29 Journal of Applied Mathematics and Computing 28 Mathematical Sciences Research Hot-Line 26 Revue d’Analyse Numérique et de Théorie de l’Approximation 24 Numerical Algorithms 22 Southwest Journal of Pure and Applied Mathematics 21 S$$\vec{\text{e}}$$MA Journal 20 Tamkang Journal of Mathematics 18 International Journal of Computer Mathematics 17 Applied Mathematics Letters 16 Journal of the Korean Society of Mathematical Education. Series B. The Pure and Applied Mathematics 15 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 15 Journal of Complexity 14 Functiones et Approximatio. Commentarii Mathematici 14 Journal of Nonlinear Analysis and Optimization: Theory & Applications 13 The Korean Journal of Computational & Applied Mathematics 13 International Journal of Applied and Computational Mathematics 12 East Asian Mathematical Journal 11 Journal of Mathematical Chemistry 10 Proyecciones 10 Journal of Numerical Analysis and Approximation Theory 9 Journal of the Korean Mathematical Society 9 Rendiconti del Circolo Matemàtico di Palermo. Serie II 9 Mathematica 9 PU.M.A. Pure Mathematics and Applications 9 Asian-European Journal of Mathematics 8 Nonlinear Studies 7 Studia Scientiarum Mathematicarum Hungarica 7 Studia Universitatis Babeș-Bolyai. Mathematica 7 Computational and Applied Mathematics 7 Communications in Applied Analysis 7 Mathematical Sciences Research Journal 6 Bulletin of the Australian Mathematical Society 6 Computers & Mathematics with Applications 6 Journal of Mathematical Analysis and Applications 6 International Journal of Mathematics and Mathematical Sciences 6 Acta Mathematica Hungarica 6 Cubo 6 Journal of Nonlinear Science and Applications 6 Algorithms 5 Mathematica Slovaca 5 Monatshefte für Mathematik 5 Numerical Functional Analysis and Optimization 5 Approximation Theory and its Applications 5 Aequationes Mathematicae 5 Bulletin of the Institute of Mathematics. Academia Sinica 5 Creative Mathematics and Informatics 4 The Arabian Journal for Science and Engineering 4 Bulletin of the Malaysian Mathematical Society. Second Series 4 Chinese Journal of Mathematics 4 Czechoslovak Mathematical Journal 4 Revista Colombiana de Matemáticas 4 Serdica Mathematical Journal 4 Novi Sad Journal of Mathematics 4 International Journal of Pure and Applied Mathematics 4 International Journal of Computational Methods 4 Carpathian Journal of Mathematics 4 Symmetry 3 Mathematical Methods in the Applied Sciences 3 Computing 3 Publicationes Mathematicae 3 Zeitschrift für Analysis und ihre Anwendungen 3 Atti del Seminario Matematico e Fisico dell’Università di Modena 3 Central European Journal of Mathematics 3 Journal of Concrete and Applicable Mathematics 3 Monografii Matematice (Timișoara) 3 Numerical Mathematics: Theory, Methods and Applications 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Advances and Applications in Mathematical Sciences 3 Mathematics 3 Khayyam Journal of Mathematics 2 Mathematics of Computation 2 BIT 2 Commentationes Mathematicae Universitatis Carolinae 2 Journal of Optimization Theory and Applications 2 Matematički Vesnik 2 Mathématica – Revue d’Analyse Numérique et de Théorie de l’Approximation. L’Analyse Numérique et la Théorie de l’Approximation 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Bulletin of the Korean Mathematical Society 2 PU.M.A. Pure Mathematics and Applications. Ser. B 2 Taiwanese Journal of Mathematics 2 Journal of Inequalities and Applications 2 Matematychni Studiï 2 Journal of Computational Analysis and Applications 2 Communications of the Korean Mathematical Society 2 EAMJ. East Asian Mathematical Journal 2 Mediterranean Journal of Mathematics 2 The Australian Journal of Mathematical Analysis and Applications 2 Atti del Seminario Matematico e Fisico dell’ Università di Modena e Reggio Emilia 2 Studies in Computational Intelligence 2 Surveys in Mathematics and its Applications 2 International Journal of Modern Mathematics ...and 61 more Serials
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### Fields

 1,082 Numerical analysis (65-XX) 836 Operator theory (47-XX) 148 Calculus of variations and optimal control; optimization (49-XX) 74 Integral equations (45-XX) 44 Operations research, mathematical programming (90-XX) 24 Ordinary differential equations (34-XX) 23 Real functions (26-XX) 19 Functional analysis (46-XX) 18 Approximations and expansions (41-XX) 16 Astronomy and astrophysics (85-XX) 7 General topology (54-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Mechanics of deformable solids (74-XX) 5 Topological groups, Lie groups (22-XX) 5 Functions of a complex variable (30-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 General and overarching topics; collections (00-XX) 4 Partial differential equations (35-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Statistics (62-XX) 2 Biology and other natural sciences (92-XX) 1 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

422 Publications have been cited 3,113 times in 1,202 Documents Cited by Year
Convergence and applications of Newton-type iterations. Zbl 1153.65057
Argyros, Ioannis Konstantinos
2008
A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space. Zbl 1057.65029
Argyros, Ioannis K.
2004
Weaker conditions for the convergence of Newton’s method. Zbl 1245.65058
Argyros, Ioannis K.; Hilout, Saïd
2012
Quadratic equations and applications to Chandrasekhar’s and related equations. Zbl 0607.47063
Argyros, Ioannis K.
1985
On the Newton-Kantorovich hypothesis for solving equations. Zbl 1055.65066
Argyros, Ioannis K.
2004
Computational theory of iterative methods. Zbl 1147.65313
Argyros, Ioannis
2007
A note on the Halley method in Banach spaces. Zbl 0787.65034
Chen, Dong; Argyros, I. K.; Qian, Q. S.
1993
On the local convergence of fast two-step Newton-like methods for solving nonlinear equations. Zbl 1262.65061
Argyros, I. K.; Hilout, S.
2013
A semilocal convergence analysis for directional Newton methods. Zbl 1211.65057
Argyros, Ioannis K.
2011
The Jarratt method in Banach space setting. Zbl 0809.65054
Argyros, I. K.; Chen, Dong; Qian, Qingshan
1994
Computational methods in nonlinear analysis. Efficient algorithms, fixed point theory and applications. Zbl 1279.65062
Argyros, Ioannis K.; Hilout, Saïd
2013
Results on the Chebyshev method in Banach spaces. Zbl 1082.65536
Argyros, I. K.; Chen, Dong
1993
A local convergence theorem for the super-Halley method in a Banach space. Zbl 0811.65043
Chen, D.; Argyros, I. K.; Qian, Q.
1994
On the convergence of an optimal fourth-order family of methods and its dynamics. Zbl 1338.65143
Argyros, Ioannis K.; Magreñán, Á. Alberto
2015
The theory and applications of iteration methods. Zbl 0844.65052
Argyros, Ioannis K.; Szidarovszky, Ferenc
1993
Numerical methods for equations and its applications. Zbl 1254.65068
Argyros, Ioannis K.; Cho, Yeaol Je; Hilout, Saïd
2012
Approximation methods for common solutions of generalized equilibrium, systems of nonlinear variational inequalities and fixed point problems. Zbl 1205.65185
Cho, Yeol Je; Argyros, Ioannis K.; Petrot, Narin
2010
Some notions of nonstationary multistep iteration processes. Zbl 0802.65076
Argyros, I. K.; Szidarovszky, F.
1994
On the semilocal convergence of efficient Chebyshev-secant-type methods. Zbl 1215.65102
Argyros, I. K.; Ezquerro, J. A.; Gutiérrez, J. M.; Hernández, M. A.; Hilout, S.
2011
On the secant method. Zbl 0796.65075
Argyros, Ioannis K.
1993
Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order. Zbl 1309.65061
Argyros, Ioannis K.; George, Santhosh; Magreñán, Á. Alberto
2015
Enclosing roots of polynomial equations and their applications to iterative processes. Zbl 1205.26023
Argyros, I. K.; Hilout, S.
2009
A study on the local convergence and the dynamics of Chebyshev-Halley-type methods free from second derivative. Zbl 1335.65047
Argyros, Ioannis K.; Magreñán, Á. Alberto
2016
Local convergence of inexact Newton-like iterative methods and applications. Zbl 0976.65054
Argyros, I. K.
2000
Extending the Newton-Kantorovich hypothesis for solving equations. Zbl 1195.65075
Argyros, Ioannis K.; Hilout, Saïd
2010
Approximating solutions of equations using Newton’s method with a modified Newton’s method iterate as a starting point. Zbl 1199.65179
Argyros, Ioannis K.
2007
On a class of Newton-like methods for solving nonlinear equations. Zbl 1168.65349
Argyros, Ioannis K.
2009
On a class of quadratic integral equations with perturbation. Zbl 0780.45005
Argyros, Ioannis K.
1992
Concerning the “terra incognita” between convergence regions of two Newton methods. Zbl 1072.65079
Argyros, Ioannis K.
2005
On a class of nonlinear integral equations arising in neutron transport. Zbl 0657.45001
Argyros, Ioannis K.
1988
Iterative methods and their dynamics with applications: a contemporary study. Zbl 1360.65005
Argyros, Ioannis Konstantinos; Magreñán, Angel Alberto
2017
Newton-like methods under mild differentiability conditions with error analysis. Zbl 0629.65061
Argyros, Ioannis K.
1988
The Newton-Kantorovich method under mild differentiability conditions and the Ptâk error estimates. Zbl 0712.65053
Argyros, Ioannis K.
1990
The secant method and fixed points of nonlinear operators. Zbl 0652.65043
Argyros, Ioannis K.
1988
A new convergence theorem for Steffensen’s method on Banach spaces and applications. Zbl 0895.65024
Argyros, Ioannis K.
1997
Remarks on the convergence of Newton’s method under Hölder continuity conditions. Zbl 0767.65051
Argyros, Ioannis K.
1992
A new analysis for the Keller-Segel model of fractional order. Zbl 1365.65233
Kumar, Sunil; Kumar, Amit; Argyros, Ioannis K.
2017
New sufficient convergence conditions for the secant method. Zbl 1081.65043
Argyros, Ioannis K.
2005
Sixth order derivative free family of iterative methods. Zbl 1229.65080
Khattri, Sanjay K.; Argyros, Ioannis K.
2011
Improved local convergence of Newton’s method under weak majorant condition. Zbl 1427.65089
Argyros, Ioannis K.; Hilout, Saïd
2012
Local convergence for some third-order iterative methods under weak conditions. Zbl 1350.65043
Argyros, Ioannis K.; Cho, Yeol Je; George, Santhosh
2016
Local convergence of deformed Halley method in Banach space under Hölder continuity conditions. Zbl 1326.65023
Argyros, Ioannis K.; George, Santhosh
2015
A contemporary study of iterative methods. Convergence, dynamics and applications. Zbl 1386.65007
Magreñán, Á. Alberto; Argyros, Ioannis K.
2018
Local convergence of modified Halley-like methods. Zbl 1468.65057
Argyros, Ioannis K.; George, Santhosh
2015
A convergence analysis for directional two-step Newton methods. Zbl 1204.65049
Argyros, Ioannis K.; Hilout, Saïd
2010
A Kantorovich-type analysis for a fast iterative method for solving nonlinear equations. Zbl 1121.65061
Argyros, Ioannis K.
2007
Improved generalized differentiability conditions for Newton-like methods. Zbl 1196.65100
Argyros, Ioannis K.; Hilout, Saïd
2010
The convergence of a Halley-Chebysheff-type method under Newton- Kantorovich hypotheses. Zbl 0782.65068
Argyros, Ioannis K.
1993
On Newton’s method under mild differentiability conditions and applications. Zbl 0930.65061
Argyros, Ioannis K.
1999
Newton’s method for approximating zeros of vector fields on Riemannian manifolds. Zbl 1176.65061
Argyros, Ioannis K.; Hilout, Saïd
2009
Advances in the efficiency of computational methods and applications. Zbl 0972.65036
Argyros, Ioannis K.
2000
On the local convergence and the dynamics of Chebyshev-Halley methods with six and eight order of convergence. Zbl 1331.65086
Magreñán, Á. Alberto; Argyros, Ioannis K.
2016
On the solution of equations with nondifferentiable and Ptak error estimates. Zbl 0726.65063
Argyros, Ioannis K.
1990
On the convergence and application of Newton’s method under weak Hölder continuity assumptions. Zbl 1050.65056
Argyros, Ioannis K.
2003
A Newton-Kantorovich theorem for equations involving $$m$$-Fréchet differentiable operators and applications in radiative transfer. Zbl 0983.65069
Argyros, Ioannis K.
2001
An improved error analysis for Newton-like methods under generalized conditions. Zbl 1030.65060
Argyros, Ioannis K.
2003
On Newton’s method and nondiscrete mathematical induction. Zbl 0642.65043
Argyros, Ioannis K.
1988
Extending the applicability of the Gauss-Newton method under average Lipschitz-type conditions. Zbl 1228.65076
Argyros, Ioannis K.; Hilout, Saïd
2011
An improved unifying convergence analysis of Newton’s method in Riemannian manifolds. Zbl 1136.65055
Argyros, Ioannis K.
2007
A new convergence theorem for the inexact Newton methods based on assumptions involving the second Fréchet derivative. Zbl 0981.65067
Argyros, I. K.
1999
A convergence theorem for Newton-like methods under generalized Chen- Yamamoto-type assumptions. Zbl 0796.65077
Argyros, Ioannis K.
1994
The midpoint method for solving nonlinear operator equations in Banach space. Zbl 0757.65071
Chen, Dong; Argyros, Ioannis K.
1992
A new convergence theorem for the Jarratt method in Banach space. Zbl 0933.65064
Argyros, I. K.
1998
Convergence radius of the modified Newton method for multiple zeros under Hölder continuous derivative. Zbl 1205.65174
Ren, Hongmin; Argyros, Ioannis K.
2010
On an improved local convergence analysis for the Secant method. Zbl 1176.65068
Argyros, Ioannis K.; Ren, Hongmin
2009
On a two-point Newton-like method of convergent order two. Zbl 1068.65070
Argyros, Ioannis K.
2005
An inverse-free Jarratt type approximation in a Banach space. Zbl 0852.65049
Argyros, I. K.; Chen, Dong; Qian, Q.
1996
On a theorem of L.V. Kantorovich concerning Newton’s method. Zbl 1040.65044
Argyros, Ioannis K.
2003
Polynomial operator equations in abstract spaces and applications. Zbl 0967.65070
Argyros, Ioannis K.
1998
The super-Halley method using divided differences. Zbl 0883.65048
Argyros, I. K.
1997
On a new Newton-Mysovskii-type theorem with applications to inexact Newton-like methods and their discretizations. Zbl 0905.65064
Argyros, Ioannis K.
1998
Efficient Steffensen-type algorithms for solving nonlinear equations. Zbl 1279.65059
Argyros, I. K.; Ren, Hongmin
2013
A unified approach for constructing fast two-step Newton-like methods. Zbl 0817.65042
Argyros, Ioannis K.
1995
On the local convergence study for an efficient k-step iterative method. Zbl 06892299
Amat, S.; Argyros, I. K.; Busquier, S.; Hernández-Verón, M. A.; Martínez, E.
2018
Improved local analysis for a certain class of iterative methods with cubic convergence. Zbl 1317.65127
Ren, Hongmin; Argyros, Ioannis K.
2012
On the convergence of King-Werner-type methods of order $$1 + \sqrt{2}$$ free of derivatives. Zbl 1338.65148
Ren, Hongmin; Argyros, Ioannis K.
2015
Local convergence for a family of third order methods in Banach spaces. Zbl 1316.65052
Argyros, I. K.; Khattri, S. K.
2014
Monotone convergence of extended iterative methods and fractional calculus with applications. Zbl 1378.65115
Anastassiou, George A.; Argyros, Ioannis K.; Kumar, Sunil
2017
On the semilocal convergence of inexact Newton methods in Banach spaces. Zbl 1400.65029
Argyros, Ioannis K.
2009
Local convergence of efficient secant-type methods for solving nonlinear equations. Zbl 1298.65094
Ren, Hongmin; Argyros, I. K.
2012
On the secant method for solving nonsmooth equations. Zbl 1112.65048
Argyros, Ioannis K.
2006
A new semilocal convergence theorem for a fast iterative method with nondifferentiable operators. Zbl 1208.65079
Ren, Hongmin; Argyros, Ioannis K.
2010
Ball convergence theorems for Halley’s method in Banach space. Zbl 1295.65064
Argyros, Ioannis K.; Ren, Hongmin
2012
Approximate solution of operator equations with applications. Zbl 1086.47002
Argyros, Ioannis K.
2005
A new iterative method of asymptotic order $$1+\sqrt 2$$ for the computation of fixed points. Zbl 1122.65051
Argyros, Ioannis K.
2005
A new semilocal convergence theorem for Newton’s method in Banach space using hypotheses on the second Fréchet-derivative. Zbl 1010.65025
Argyros, I. K.
2001
Local convergence of a Newton-Traub composition in Banach spaces. Zbl 1388.49028
Sharma, Janak Raj; Argyros, Ioannis K.
2018
Majorizing sequences for iterative methods. Zbl 1427.65090
Argyros, Ioannis K.; Hilout, Saïd
2012
A unified approach for enlarging the radius of convergence for Newton’s method and applications. Zbl 1094.65051
Argyros, Ioannis K.; Gutiérrez, José M.
2005
Concerning the convergence of Newton’s method and quadratic majorants. Zbl 1180.65064
Argyros, Ioannis K.
2009
Ball convergence theorems and the convergence planes of an iterative method for nonlinear equations. Zbl 1326.65022
Alberto Magreñán, Á.; Argyros, Ioannis K.
2015
Chebysheff-Halley-like methods in Banach spaces. Zbl 0915.65045
Argyros, Ioannis K.
1997
On an improved convergence analysis of Newton’s method. Zbl 1336.65098
Argyros, Ioannis K.; Hilout, Saïd
2013
Local convergence and a chemical application of derivative free root finding methods with one parameter based on interpolation. Zbl 1360.65141
Argyros, Ioannis K.; Magreñán, Á. Alberto; Orcos, Lara
2016
Newton-like methods in partially ordered Banach spaces. Zbl 0773.65039
Argyros, I. K.
1993
On the complexity of extending the convergence region for Traub’s method. Zbl 1468.65060
Argyros, Ioannis K.; George, Santhosh
2020
On the semilocal convergence of the Halley method using recurrent functions. Zbl 1291.65156
Argyros, Ioannis K.; Cho, Yeol Je; Hilout, Saïd
2011
Newton-Kantorovich approximations under weak continuity conditions. Zbl 1291.65166
Argyros, Ioannis K.; Hilout, Saïd
2011
Convergence conditions for secant-type methods. Zbl 1224.65141
Argyros, Ioannis K.; Hilout, Saïd
2010
On the comparison of a weak variant of the Newton–Kantorovich and Miranda theorems. Zbl 1074.65062
Argyros, Ioannis K.
2004
Modified proximal-like extragradient methods for two classes of equilibrium problems in Hilbert spaces with applications. Zbl 1476.65091
Rehman, Habib ur; Kumam, Poom; Argyros, Ioannis K.; Alreshidi, Nasser Aedh
2021
On the complexity of extending the convergence region for Traub’s method. Zbl 1468.65060
Argyros, Ioannis K.; George, Santhosh
2020
On the local convergence of Weerakoon-Fernando method with $$\omega$$ continuity condition in Banach spaces. Zbl 07293754
Argyros, Ioannis K.; Sharma, Debasis; Parhi, Sanjaya Kumar
2020
On the convergence, dynamics and applications of a new class of nonlinear system solvers. Zbl 1470.65100
Argyros, Ioannis K.; Sharma, Debasis; Parhi, Sanjaya Kumar; Sunanda, Shanta Kumari
2020
Efficient optimal families of higher-order iterative methods with local convergence. Zbl 1474.65155
Behl, Ramandeep; Gutiérrez, J. M.; Argyros, I. K.; Alshomrani, A. S.
2020
Ball convergence for a multi-step harmonic mean Newton-like method in Banach space. Zbl 07205460
Behl, Ramandeep; Alshormani, Ali Saleh; Argyros, Ioannis K.
2020
Weaker conditions for inexact mutitpoint Newton-like methods. Zbl 1433.65092
Argyros, Ioannis K.; Magreñán, Á. Alberto; Moreno, Daniel; Orcos, Lara; Sicilia, Juan Antonio
2020
Extended two-step-Kurchatov method for solving Banach space valued nondifferentiable equations. Zbl 1461.65102
Argyros, Ioannis K.; Shakhno, Stepan
2020
Extending the Kantorovich’s theorem on Newton’s method for solving strongly regular generalized equation. Zbl 1417.90151
Argyros, I. K.; Silva, G. N.
2019
Kantorovich-like convergence theorems for Newton’s method using restricted convergence domains. Zbl 1482.49030
Argyros, Ioannis K.; George, Santhosh
2019
On a two-step Kurchatov-type method in Banach space. Zbl 1411.65077
Argyros, Ioannis K.; George, Santhosh
2019
Unified convergence analysis of frozen Newton-like methods under generalized conditions. Zbl 1403.65023
Argyros, Ioannis K.; George, Santhosh
2019
Different methods for solving STEM problems. Zbl 1415.65124
Argyros, Ioannis K.; Magreñán, Á. A.; Orcos, L.; Sarría, Íñígo; Sicilia, Juan Antonio
2019
Two-step solver for equations with nondifferentiable term. Zbl 1418.65072
Argyros, Ioannis K.; Shakhno, Stepan; Yarmola, Halyna
2019
Two-step solver for nonlinear equations. Zbl 1416.65154
Argyros, Ioannis K.; Shakhno, Stepan; Yarmola, Halyna
2019
Extending the applicability of the super-Halley-like method using $$\omega$$-continuous derivatives and restricted convergence domains. Zbl 1429.65113
Argyros, Ioannis K.; George, Santhosh
2019
A contemporary study of iterative methods. Convergence, dynamics and applications. Zbl 1386.65007
Magreñán, Á. Alberto; Argyros, Ioannis K.
2018
On the local convergence study for an efficient k-step iterative method. Zbl 06892299
Amat, S.; Argyros, I. K.; Busquier, S.; Hernández-Verón, M. A.; Martínez, E.
2018
Local convergence of a Newton-Traub composition in Banach spaces. Zbl 1388.49028
Sharma, Janak Raj; Argyros, Ioannis K.
2018
On two high-order families of frozen Newton-type methods. Zbl 1424.65072
Amat, S.; Argyros, I.; Busquier, S.; Hernández-Verón, M. A.
2018
Local convergence for an almost sixth order method for solving equations under weak conditions. Zbl 1396.49021
Argyros, Ioannis K.; George, Santhosh
2018
Design and analysis of a new class of derivative-free optimal order methods for nonlinear equations. Zbl 1404.65042
Sharma, Janak Raj; Argyros, Ioannis K.; Kumar, Deepak
2018
Local convergence of Newton-HSS methods with positive definite Jacobian matrices under generalized conditions. Zbl 1444.65019
Argyros, Ioannis K.; Sharma, Janak Raj; Kumar, Deepak
2018
Secant-like methods for solving nonlinear models with applications to chemistry. Zbl 1404.92229
Magreñán, Á. Alberto; Argyros, Ioannis K.; Orcos, Lara; Sicilia, Juan Antonio
2018
Improved semilocal convergence analysis in Banach space with applications to chemistry. Zbl 1407.65059
Argyros, Ioannis K.; Giménez, Elena; Magreñán, Á. A.; Sarría, Í.; Sicilia, Juan Antonio
2018
Ball convergence of a sixth-order Newton-like method based on means under weak conditions. Zbl 1407.65055
Magreñán, Á. A.; Argyros, I. K.; Rainer, J. J.; Sicilia, J. A.
2018
Ball convergence of an efficient eighth order iterative method under weak conditions. Zbl 1404.65045
Sharma, Janak Raj; Argyros, Ioannis K.; Kumar, Sunil
2018
Semilocal convergence analysis of a fifth-order method using recurrence relations in Banach space under weak conditions. Zbl 1469.65098
Argyros, Ioannis K.; George, Santhosh
2018
A family of higher order derivative free methods for nonlinear systems with local convergence analysis. Zbl 1413.65200
Bhalla, S.; Kumar, S.; Argyros, I. K.; Behl, Ramandeep
2018
Iterative methods and their dynamics with applications: a contemporary study. Zbl 1360.65005
Argyros, Ioannis Konstantinos; Magreñán, Angel Alberto
2017
A new analysis for the Keller-Segel model of fractional order. Zbl 1365.65233
Kumar, Sunil; Kumar, Amit; Argyros, Ioannis K.
2017
Monotone convergence of extended iterative methods and fractional calculus with applications. Zbl 1378.65115
Anastassiou, George A.; Argyros, Ioannis K.; Kumar, Sunil
2017
Local convergence of a relaxed two-step Newton like method with applications. Zbl 1421.65012
Argyros, I. K.; Magreñán, Á. A.; Orcos, L.; Sicilia, J. A.
2017
Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions. Zbl 1359.65084
Amat, S.; Argyros, Ioannis K.; Busquier, S.; Magreñán, Á. Alberto
2017
On the convergence of a higher order family of methods and its dynamics. Zbl 1468.65056
Argyros, Ioannis K.; Cordero, Alicia; Magreñán, Ángel Alberto; Torregrosa, Juan Ramón
2017
Higher-order derivative-free families of Chebyshev-Halley type methods with or without memory for solving nonlinear equations. Zbl 1426.65064
Argyros, Ioannis K.; Kansal, Munish; Kanwar, Vinay; Bajaj, Sugandha
2017
Third-degree anomalies of Traub’s method. Zbl 1468.65055
Argyros, Ioannis K.; Cordero, Alicia; Magreñán, Á. Alberto; Torregrosa, Juan R.
2017
Local convergence of a fifth convergence order method in Banach space. Zbl 1367.65080
Argyros, Ioannis K.; George, Santhosh
2017
Ball convergence of the Newton-Gauss method in Banach space. Zbl 1381.65040
Argyros, Ioannis K.; Sharma, Janak Raj; Kumar, Deepak
2017
On a general class of optimal order multipoint methods for solving nonlinear equations. Zbl 1357.65061
Sharma, Janak Raj; Argyros, Ioannis K.; Kumar, Deepak
2017
Unifying semilocal and local convergence of Newton’s method on Banach space with a convergence structure. Zbl 1358.65035
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S.
2017
Extending the applicability of the local and semilocal convergence of Newton’s method. Zbl 1410.65212
Argyros, Ioannis K.; Magreñán, Á. Alberto
2017
Ball convergence for an eighth order efficient method under weak conditions in Banach spaces. Zbl 1381.65039
Argyros, Ioannis K.; George, Santhosh; Erappa, Shobha M.
2017
Expanding the applicability of inexact Newton methods using restricted convergence domains. Zbl 1368.65077
Argyros, Ioannis K.; George, Santhosh
2017
Ball convergence for a family of quadrature-based methods for solving equations in Banach space. Zbl 1404.65047
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S.
2017
Ball convergence for second derivative free methods in Banach space. Zbl 1397.65080
Argyros, Ioannis K.; Jidesh, P.; George, Santhosh
2017
Ball convergence of a stable fourth-order family for solving nonlinear systems under weak conditions. Zbl 1399.65058
Argyros, Ioannis K.; Kansal, Munish; Kanwar, Vinay
2017
A study on the local convergence and the dynamics of Chebyshev-Halley-type methods free from second derivative. Zbl 1335.65047
Argyros, Ioannis K.; Magreñán, Á. Alberto
2016
Local convergence for some third-order iterative methods under weak conditions. Zbl 1350.65043
Argyros, Ioannis K.; Cho, Yeol Je; George, Santhosh
2016
On the local convergence and the dynamics of Chebyshev-Halley methods with six and eight order of convergence. Zbl 1331.65086
Magreñán, Á. Alberto; Argyros, Ioannis K.
2016
Local convergence and a chemical application of derivative free root finding methods with one parameter based on interpolation. Zbl 1360.65141
Argyros, Ioannis K.; Magreñán, Á. Alberto; Orcos, Lara
2016
Improved convergence analysis for Newton-like methods. Zbl 1339.65074
Magreñán, Ángel Alberto; Argyros, Ioannis K.
2016
Local convergence for multipoint methods using only the first derivative. Zbl 1367.65082
Argyros, Ioannis K.; Kansal, Munish; Kanwar, V.
2016
Generalized Newton-like methods for local convergence analysis. Zbl 1355.65065
Argyros, Ioannis K.; Verma, Ram U.
2016
Newton’s method on generalized Banach spaces. Zbl 1386.65149
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S.
2016
Local convergence and the dynamics of a two-step Newton-like method. Zbl 1343.47067
Argyros, Ioannis K.; Magreñán, Á. Alberto
2016
Unified convergence domains of Newton-like methods for solving operator equations. Zbl 1410.65211
Argyros, Ioannis K.; George, Santhosh
2016
Ball convergence of a sixth order iterative method with one parameter for solving equations under weak conditions. Zbl 1377.65055
Argyros, Ioannis K.; George, Santhosh
2016
Intelligent numerical methods: applications to fractional calculus. Zbl 1354.65003
Anastassiou, George A.; Argyros, Ioannis K.
2016
Local convergence for an efficient eighth order iterative method with a parameter for solving equations under weak conditions. Zbl 1420.65068
Argyros, Ioannis K.; George, Santhosh
2016
Intelligent numerical methods II: Applications to multivariate fractional calculus. Zbl 1336.65003
Anastassiou, George A.; Argyros, Ioannis K.
2016
The majorant method in the theory of Newton-Kantorovich approximations and generalized Lipschitz conditions. Zbl 1329.65114
Argyros, Ioannis K.; Hilout, Saïd
2016
Newton’s method for convex optimization. Zbl 1354.65113
Argyros, Ioannis K.; González, Daniel
2016
Local convergence analysis of an eighth order scheme using hypothesis only on the first derivative. Zbl 1461.65098
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, Sandile S.
2016
On a result by Dennis and Schnabel for Newton’s method: further improvements. Zbl 1416.65153
Argyros, Ioannis K.; George, Santhosh
2016
On the convergence of an optimal fourth-order family of methods and its dynamics. Zbl 1338.65143
Argyros, Ioannis K.; Magreñán, Á. Alberto
2015
Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order. Zbl 1309.65061
Argyros, Ioannis K.; George, Santhosh; Magreñán, Á. Alberto
2015
Local convergence of deformed Halley method in Banach space under Hölder continuity conditions. Zbl 1326.65023
Argyros, Ioannis K.; George, Santhosh
2015
Local convergence of modified Halley-like methods. Zbl 1468.65057
Argyros, Ioannis K.; George, Santhosh
2015
On the convergence of King-Werner-type methods of order $$1 + \sqrt{2}$$ free of derivatives. Zbl 1338.65148
Ren, Hongmin; Argyros, Ioannis K.
2015
Ball convergence theorems and the convergence planes of an iterative method for nonlinear equations. Zbl 1326.65022
Alberto Magreñán, Á.; Argyros, Ioannis K.
2015
On the convergence of efficient King-Werner-type methods of order $$1 + \sqrt{2}$$. Zbl 1314.65073
Argyros, Ioannis K.; Ren, Hongmin
2015
Local convergence for some high convergence order Newton-like methods with frozen derivatives. Zbl 1329.65113
Argyros, Ioannis K.; George, Santhosh
2015
Iterative regularization methods for nonlinear ill-posed operator equations with $$m$$-accretive mappings in Banach spaces. Zbl 1349.47097
Argyros, Ioannis K.; George, Santhosh
2015
Local convergence for deformed Chebyshev-type method in Banach space under weak conditions. Zbl 1339.65073
Argyros, Ioannis K.; George, Santhosh
2015
On the convergence of a damped Newton-like method with modified right hand side vector. Zbl 1410.65209
Argyros, Ioannis K.; Cordero, Alicia; Magreñán, Alberto; Torregrosa, Juan R.
2015
Ball comparison between two optimal eight-order methods under weak conditions. Zbl 1332.65066
Argyros, Ioannis K.; George, Santhosh
2015
On the convergence of inexact two-point Newton-like methods on Banach spaces. Zbl 1410.65213
Argyros, Ioannis Konstantinos; Magreñán, Ángel Alberto
2015
Expanding the applicability of secant-like methods for solving nonlinear equations. Zbl 1349.65179
Argyros, I. K.; Ezquerro, J. A.; Hernández, M. A.; Hilout, S.; Romero, N.; Vela, A. I.
2015
Accessibility of solutions of operator equations by Newton-like methods. Zbl 1320.65085
Sahu, D. R.; Cho, Y. J.; Agarwal, R. P.; Argyros, I. K.
2015
Expanding the applicability of secant method with applications. Zbl 1319.47056
Magreñán, Á. Alberto; Argyros, Ioannis K.
2015
Expanding the applicability of the secant method under weaker conditions. Zbl 1410.65181
Argyros, Ioannis K.; Magreñán, Á. Alberto
2015
Local convergence of an optimal eighth order method under weak conditions. Zbl 1461.65072
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S.
2015
Local convergence of an efficient high convergence order method using hypothesis only on the first derivative. Zbl 1461.65099
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S.
2015
On a sixth-order Jarratt-type method in Banach spaces. Zbl 1334.65097
Argyros, Ioannis K.; George, Santhosh
2015
On the semilocal convergence of a two step Newton method under the $$\gamma$$-condition. Zbl 1413.65224
Argyros, Ioannis K.; George, Santhosh
2015
Extended convergence results for the Newton-Kantorovich iteration. Zbl 1314.65077
Argyros, Ioannis K.; Magreñán, Á. Alberto
2015
A unified local convergence for Jarratt-type methods in Banach space under weak conditions. Zbl 1400.65030
Argyros, Ioannis K.; George, Santhosh
2015
A unified convergence analysis for a certain family of iterative algorithms with applications to fractional calculus. Zbl 1346.65025
Anastassiou, George A.; Argyros, Ioannis K.
2015
On the convergence of a damped secant method with modified right-hand side vector. Zbl 1338.65140
Argyros, Ioannis K.; Cordero, Alicia; Alberto Magreñán, Á.; Torregrosa, J. R.
2015
Enlarging the convergence ball of the method of parabola for finding zero of derivatives. Zbl 1338.65141
Argyros, Ioannis K.; George, Santhosh
2015
Ball convergence for a Newton-Steffensen-type third-order method. Zbl 1323.65053
Argyros, Ioannis K.; George, Santhosh
2015
Directional Chebyshev-type methods for solving equations. Zbl 1307.65072
Argyros, I. K.; Hernández, M. A.; Hilout, S.; Romero, N.
2015
An extension of a theorem by Wang for Smale’s $$\alpha$$-theory and applications. Zbl 1432.65067
Magreñán, Ángel Alberto; Argyros, Ioannis K.
2015
Generalized quasi split variational inequality problems involving relaxed cocoercive mappings. Zbl 1339.47079
Argyros, Ioannis K.; Salahuddin
2015
New semilocal and local convergence analysis for the secant method. Zbl 1410.65222
Magreñán, Á. Alberto; Argyros, Ioannis K.
2015
Weak convergence conditions for the Newton’s method in Banach space using general majorizing sequences. Zbl 1410.65208
Argyros, I. K.; Khattri, S. K.
2015
Local convergence for a family of third order methods in Banach spaces. Zbl 1316.65052
Argyros, I. K.; Khattri, S. K.
2014
Expanding the applicability of Newton’s method using Smale’s $$\alpha$$-theory. Zbl 1291.65167
Argyros, Ioannis K.; Hilout, Saïd; Khattri, Sanjay K.
2014
A semilocal convergence for a uniparametric family of efficient secant-like methods. Zbl 1321.65085
Argyros, I. K.; González, D.; Magreñán, Á. A.
2014
...and 322 more Documents
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### Cited by 776 Authors

 406 Argyros, Ioannis Konstantinos 96 George, Santhosh 76 Ezquerro, José Antonio 72 Hernández, Miguel Ángel 63 Hilout, Saïd 61 Magreñán, Ángel Alberto 49 Hernández-Verón, Miguel Ángel 40 Kou, Jisheng 38 Ren, Hongmin 37 Amat, Sergio P. 33 Behl, Ramandeep 27 Busquier, Sonia 27 Wang, Xiuhua 26 Cho, Yeol Je 26 Gupta, Dharmendra Kumar 26 Wu, Qingbiao 24 Gutiérrez, José Manuel 24 Parhi, Sanjaya Kumar 24 Sharma, Janak Raj 23 Chun, Changbum 23 Martínez, Eulalia 22 Torregrosa Sanchez, Juan Ramón 21 Romero, Natalia 20 Cordero, Alicia 20 Grau-Sánchez, Miquel 17 Banaś, Józef 16 Neta, Beny 16 Sharma, Debasis 15 Kim, Young Ik 15 Motsa, Sandile Sydney 15 Rubio, María Jesús 14 Li, Yitian 13 González, Daniel 13 Singh, Sukhjit 12 Khattri, Sanjay K. 12 Sicilia, Juan Antonio 10 Darwish, Mohamed Abdalla 10 Geum, Young Hee 10 Hueso, José Luis 10 Kumar, Abhimanyu 10 Kumar, Deepak 10 Noguera, Miquel 10 Plaza, Sergio 10 Sadarangani, Kishin B. 10 Salanova, M. Amparo 10 Shakhno, Stepan Mykhaĭlovych 9 Ferreira, Orizon Pereira 9 Kanwar, Vinay 9 Li, Chong 9 Szidarovszky, Ferenc P. 9 Zhao, Yueqing 8 Alshomrani, Ali Saleh 8 Anastassiou, George Angelos 8 Kansal, Munish 8 Lin, Rongfei 8 Metwali, Mohamed M. A. 7 Cătinaş, Emil 7 Kumar, Sunil 7 Maroju, Prashanth 7 Sarría, Ínigo 7 Silva, Gilson N. 6 Bi, Weihong 6 Caballero, Josefa 6 Gómez-Aguilar, José Francisco 6 Gu, Chuanqing 6 Jidesh, P. 6 Kumam, Poom 6 Kumar Khattri, Sanjay 6 Maleknejad, Khosrow 6 Sunanda, Shanta Kumari 6 Uko, Livinus Ugochukwu 6 Vindel, Pura 5 Agarwal, Ravi P. 5 Balooee, Javad 5 Bermúdez, Concepción 5 Chen, Dong 5 Chen, Jinhai 5 Cichoń, Mieczysław 5 Erappa, Shobha Monnanda 5 Escobar-Jiménez, Ricardo Fabricio 5 Gonçalves, Max L. N. 5 Hashem, Hind H. G. 5 Kumar, Devendra 5 Orcos, Lara 5 Rashid, Mohammed Harunor 5 Sahu, Daya Ram 5 Sharma, Rajni 5 Shen, Weiping 5 Soleymani, Fazlollah 4 Babajee, Diyashvir Kreetee Rajiv 4 Bhalla, Sonia 4 Campos, Beatriz 4 Chen, Minhong 4 Fernández-Cara, Enrique 4 Grau, Àngela 4 Ham, YoonMee 4 Huang, Zhengda 4 Khan, Yasir 4 Lotfi, Taher 4 Madhu, Kalyanasundaram ...and 676 more Authors
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### Cited in 186 Serials

 199 Applied Mathematics and Computation 127 Journal of Computational and Applied Mathematics 73 Numerical Algorithms 38 Journal of Applied Mathematics and Computing 35 Journal of Mathematical Analysis and Applications 32 International Journal of Computer Mathematics 30 Applied Mathematics Letters 29 S$$\vec{\text{e}}$$MA Journal 28 Computers & Mathematics with Applications 25 Journal of Complexity 23 Numerical Functional Analysis and Optimization 21 Journal of Optimization Theory and Applications 21 International Journal of Applied and Computational Mathematics 18 Applicationes Mathematicae 17 Journal of Mathematical Chemistry 14 Mediterranean Journal of Mathematics 13 Rendiconti del Circolo Matemàtico di Palermo. Serie II 12 Abstract and Applied Analysis 12 Journal of Applied Mathematics 12 Fixed Point Theory and Applications 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Asian-European Journal of Mathematics 11 Algorithms 10 Computational and Applied Mathematics 10 International Journal of Computational Methods 9 Advances in Difference Equations 8 Applied Numerical Mathematics 8 Journal of Inequalities and Applications 7 Applicable Analysis 7 Chaos, Solitons and Fractals 6 Calcolo 6 Journal of Integral Equations and Applications 6 Optimization Letters 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Mathematica Slovaca 5 Numerische Mathematik 5 Computational Optimization and Applications 5 Applied Mathematics. Series B (English Edition) 5 Fractals 5 Mathematical Modelling and Analysis 5 Journal of Fixed Point Theory and Applications 4 Bulletin of the Australian Mathematical Society 4 Mathematical Methods in the Applied Sciences 4 Mathematics of Computation 4 Czechoslovak Mathematical Journal 4 Zeitschrift für Analysis und ihre Anwendungen 4 Journal of the Egyptian Mathematical Society 4 Mathematical Problems in Engineering 4 Vietnam Journal of Mathematics 4 Discrete Dynamics in Nature and Society 4 Symmetry 4 ISRN Applied Mathematics 4 Journal of Nonlinear Analysis and Optimization: Theory & Applications 4 Journal of Mathematics 4 Journal of Function Spaces 3 Inverse Problems 3 Rocky Mountain Journal of Mathematics 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of the Korean Mathematical Society 3 Celestial Mechanics and Dynamical Astronomy 3 Numerical Linear Algebra with Applications 3 Complexity 3 Matematychni Studiï 3 Communications in Nonlinear Science and Numerical Simulation 3 Applied Mathematics E-Notes 3 Central European Journal of Mathematics 3 ANACM. Applied Numerical Analysis and Computational Mathematics 3 Analysis and Applications (Singapore) 3 Cubo 3 Journal of Nonlinear Science and Applications 3 Afrika Matematika 3 Journal of Mathematical Extension 3 Mathematics 3 Cogent Mathematics 3 Matematicheskie Voprosy Kriptografii 2 Indian Journal of Pure & Applied Mathematics 2 Journal of the Franklin Institute 2 BIT 2 Computing 2 Mathematics and Computers in Simulation 2 Monatshefte für Mathematik 2 Acta Mathematica Hungarica 2 Optimization 2 Mathematical and Computer Modelling 2 Japan Journal of Industrial and Applied Mathematics 2 Applications of Mathematics 2 Journal of Global Optimization 2 Computational Mathematics and Mathematical Physics 2 Aequationes Mathematicae 2 European Journal of Operational Research 2 The Journal of Analysis 2 Arab Journal of Mathematical Sciences 2 Nonlinear Dynamics 2 Novi Sad Journal of Mathematics 2 Acta Mathematica Sinica. English Series 2 Nonlinear Analysis. Real World Applications 2 Computational Methods in Applied Mathematics 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 The Journal of Prime Research in Mathematics 2 International Journal of Biomathematics ...and 86 more Serials
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### Cited in 43 Fields

 1,017 Numerical analysis (65-XX) 560 Operator theory (47-XX) 140 Integral equations (45-XX) 125 Calculus of variations and optimal control; optimization (49-XX) 77 Operations research, mathematical programming (90-XX) 45 Ordinary differential equations (34-XX) 31 Partial differential equations (35-XX) 29 Real functions (26-XX) 27 Approximations and expansions (41-XX) 25 Dynamical systems and ergodic theory (37-XX) 15 Functional analysis (46-XX) 11 Difference and functional equations (39-XX) 11 Fluid mechanics (76-XX) 11 Biology and other natural sciences (92-XX) 10 Functions of a complex variable (30-XX) 8 Systems theory; control (93-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 General topology (54-XX) 6 Computer science (68-XX) 6 Mechanics of deformable solids (74-XX) 5 Probability theory and stochastic processes (60-XX) 5 Mechanics of particles and systems (70-XX) 5 Astronomy and astrophysics (85-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Statistics (62-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Field theory and polynomials (12-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 3 Differential geometry (53-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Sequences, series, summability (40-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Mathematics education (97-XX)