Numerical Functional Analysis and Optimization Short Title: Numer. Funct. Anal. Optim. Publisher: Taylor & Francis, Philadelphia, PA ISSN: 0163-0563; 1532-2467/e Online: http://www.tandfonline.com/loi/lnfa20 Comments: Journal; Indexed cover-to-cover Documents Indexed: 2,595 Publications (since 1979) References Indexed: 2,468 Publications with 50,879 References. all top 5 Latest Issues 45, No. 4-6 (2024) 45, No. 3 (2024) 45, No. 2 (2024) 45, No. 1 (2024) 44, No. 15-16 (2023) 44, No. 14 (2023) 44, No. 13 (2023) 44, No. 12 (2023) 44, No. 11 (2023) 44, No. 10 (2023) 44, No. 9 (2023) 44, No. 8 (2023) 44, No. 7 (2023) 44, No. 6 (2023) 44, No. 5 (2023) 44, No. 4 (2023) 44, No. 3 (2023) 44, No. 2 (2023) 44, No. 1 (2023) 43, No. 16 (2022) 43, No. 15 (2022) 43, No. 14 (2022) 43, No. 13 (2022) 43, No. 12 (2022) 43, No. 11 (2022) 43, No. 10 (2022) 43, No. 9 (2022) 43, No. 8 (2022) 43, No. 7 (2022) 43, No. 6 (2022) 43, No. 5 (2022) 43, No. 4 (2022) 43, No. 3 (2022) 43, No. 2 (2022) 43, No. 1 (2022) 42, No. 16, Part 4 (2021) 42, No. 15, Part 3 (2021) 42, No. 14, Part 2 (2021) 42, No. 13, Part 1 (2021) 42, No. 12 (2021) 42, No. 11 (2021) 42, No. 10 (2021) 42, No. 9 (2021) 42, No. 8 (2021) 42, No. 7 (2021) 42, No. 6 (2021) 42, No. 5 (2021) 42, No. 4 (2021) 42, No. 3 (2021) 42, No. 2 (2021) 42, No. 1 (2020) 41, No. 16 (2020) 41, No. 15 (2020) 41, No. 14 (2020) 41, No. 13 (2020) 41, No. 12 (2020) 41, No. 11 (2020) 41, No. 10 (2020) 41, No. 9 (2020) 41, No. 8 (2020) 41, No. 7 (2020) 41, No. 6 (2020) 41, No. 5 (2020) 41, No. 4 (2020) 41, No. 3 (2020) 41, No. 2 (2020) 41, No. 1 (2020) 40, No. 16 (2019) 40, No. 15 (2019) 40, No. 14 (2019) 40, No. 13 (2019) 40, No. 12 (2019) 40, No. 11 (2019) 40, No. 10 (2019) 40, No. 9 (2019) 40, No. 8 (2019) 40, No. 7 (2019) 40, No. 6 (2019) 40, No. 5 (2019) 40, No. 4 (2019) 40, No. 3 (2019) 40, No. 2 (2019) 40, No. 1 (2019) 39, No. 16 (2018) 39, No. 15 (2018) 39, No. 14 (2018) 39, No. 13 (2018) 39, No. 12 (2018) 39, No. 11 (2018) 39, No. 10 (2018) 39, No. 9 (2018) 39, No. 8 (2018) 39, No. 7 (2018) 39, No. 6 (2018) 39, No. 3 (2018) 39, No. 2 (2018) 39, No. 1 (2018) 38, No. 12 (2017) 38, No. 11 (2017) 38, No. 10 (2017) ...and 199 more Volumes all top 5 Authors 16 Ashyralyev, Allaberen 16 Reich, Simeon 13 Ahues, Mario Paul 12 Mohebi, Hossein 12 Scherzer, Otmar 12 Vainikko, Gennadi 12 Yamamoto, Tetsuro 12 Zaslavski, Alexander Yakovlevich 11 Craven, Bruce Desmond 11 Fang, Qing 11 Hoàng Xuân Phù 11 Hoffmann, Karl-Heinz 11 Nashed, M. Zuhair 11 Yao, Jen-Chih 10 Nair, M. Thamban 10 Shahzad, Naseer 9 Ansari, Qamrul Hasan 9 Antczak, Tadeusz 9 Arnăutu, Viorel 9 Auchmuty, Giles 9 Barbu, Viorel 9 Pham Huu Sach 9 Piskarëv, S. I. 8 Han, Weimin 8 Hernández-Verón, Miguel Ángel 8 Iusem, Alfredo Noel 8 Levis, Fabián Eduardo 8 Li, Shengjie 8 Nakao, Mitsuhiro T. 8 Nürnberger, Günther 8 Park, Jong Yeoul 8 Rubinov, Aleksandr Moiseevich 8 Singer, Ivan 8 Wang, Gengsheng 8 Xu, Hong-Kun 8 Yamada, Isao 7 Chuang, Chih-Sheng 7 Cuenya, Héctor Hugo 7 Gavrilyuk, Ivan P. 7 Grigorieff, Rolf Dieter 7 Jørgensen, Palle E. T. 7 Khalil, Roshdi Rashid 7 Kittaneh, Fuad 7 Menegatto, Valdir Antonio 7 Moret, Igor 7 Neittaanmäki, Pekka J. 7 Nevanlinna, Olavi 7 Nguyen Xuan Tan 7 O’Regan, Donal 7 Pani, Amiya Kumar 7 Qi, Liqun 7 Rojas-Medar, Marko Antonio 7 Roubíček, Tomáš 7 Sinha, Rajen Kumar 7 Teo, Kok Lay 7 Vinti, Gianluca 7 Wei, Yimin 7 Yang, Xiaoqi 7 Zegeye, Habtu 6 An, Phan Thanh 6 Cho, Yeol Je 6 Engl, Heinz W. 6 Favier, Sergio J. 6 Gabeleh, Moosa 6 Gadhi, Nazih Abderrazzak 6 Gatica, Gabriel N. 6 Hämarik, Uno 6 Herzog, Gerd 6 Karátson, János 6 Kirk, William Arthur 6 Liu, Jinn-Liang 6 Meng, Zhiqing 6 Moudafi, Abdellatif 6 Nicaise, Serge 6 Nobakhtian, Soghra 6 Ogura, Nobuhiko 6 Pai, Devidas V. 6 Rasa, Ioan 6 Sommer, Manfred 6 Sprekels, Jürgen 6 Sukavanam, Nagarajan 6 Sun, Wenchang 6 Takahashi, Wataru 6 Thibault, Lionel 6 Vianello, Marco 6 Zhang, Qingyue 5 Agarwal, Ravi P. 5 Agrawal, Purshottam Narain 5 Aral, Ali 5 Argyros, Ioannis Konstantinos 5 Axelsson, Axel Owe Holger 5 Banks, Harvey Thomas 5 Barbu, Tudor 5 Butnariu, Dan 5 Butzer, Paul Leo 5 Cegielski, Andrzej 5 Ceng, Lu-Chuan 5 Chang, Shih-Sen 5 Chen, Xiaojun 5 Crombez, Gilbert ...and 2,938 more Authors all top 5 Fields 995 Numerical analysis (65-XX) 712 Operator theory (47-XX) 581 Calculus of variations and optimal control; optimization (49-XX) 482 Partial differential equations (35-XX) 451 Operations research, mathematical programming (90-XX) 358 Approximations and expansions (41-XX) 243 Functional analysis (46-XX) 178 Ordinary differential equations (34-XX) 160 Harmonic analysis on Euclidean spaces (42-XX) 130 Integral equations (45-XX) 118 Systems theory; control (93-XX) 100 Real functions (26-XX) 94 General topology (54-XX) 83 Mechanics of deformable solids (74-XX) 72 Fluid mechanics (76-XX) 62 Information and communication theory, circuits (94-XX) 52 Linear and multilinear algebra; matrix theory (15-XX) 44 Convex and discrete geometry (52-XX) 42 Probability theory and stochastic processes (60-XX) 33 Sequences, series, summability (40-XX) 32 Global analysis, analysis on manifolds (58-XX) 31 Dynamical systems and ergodic theory (37-XX) 30 Biology and other natural sciences (92-XX) 29 Special functions (33-XX) 27 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 25 Measure and integration (28-XX) 24 Functions of a complex variable (30-XX) 22 Abstract harmonic analysis (43-XX) 22 Integral transforms, operational calculus (44-XX) 22 Computer science (68-XX) 20 Difference and functional equations (39-XX) 19 Optics, electromagnetic theory (78-XX) 19 Classical thermodynamics, heat transfer (80-XX) 18 Potential theory (31-XX) 15 Geophysics (86-XX) 14 Statistics (62-XX) 12 Statistical mechanics, structure of matter (82-XX) 11 Quantum theory (81-XX) 9 Mathematical logic and foundations (03-XX) 8 Number theory (11-XX) 8 Differential geometry (53-XX) 8 Algebraic topology (55-XX) 7 General and overarching topics; collections (00-XX) 7 Combinatorics (05-XX) 6 History and biography (01-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Associative rings and algebras (16-XX) 5 Mechanics of particles and systems (70-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 2 Topological groups, Lie groups (22-XX) 2 Astronomy and astrophysics (85-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 2,031 Publications have been cited 17,452 times in 13,937 Documents Cited by ▼ Year ▼ Proximinal retracts and best proximity pair theorems. Zbl 1054.47040 Kirk, W. A.; Reich, Simeon; Veeramani, P. 175 2003 Hybrid steepest descent method for variational inequality problem over the fixed point set of certain quasi-nonexpansive mappings. Zbl 1095.47049 Yamada, Isao; Ogura, Nobuhiko 163 2004 Differentiation with respect to the domain in boundary value problems. Zbl 0471.35077 Simon, J. 151 1980 An implicit iteration process for nonexpansive mappings. Zbl 0999.47043 Xu, Hong-Kun; Ori, Ramesh G. 146 2001 Two strong convergence theorems for a proximal method in reflexive Banach spaces. Zbl 1200.47085 Reich, Simeon; Sabach, Shoham 145 2010 Optimality for ill-posed problems under general source conditions. Zbl 0907.65049 Tautenhahn, Ulrich 140 1998 Common fixed point theorems in complex valued metric spaces. Zbl 1245.54036 Azam, Akbar; Fisher, Brian; Khan, M. 136 2011 Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings. Zbl 0913.47048 Deutsch, Frank; Yamada, Isao 121 1998 The majorant method in the theory of Newton-Kantorovich approximations and the Pták error estimates. Zbl 0627.65069 Zabrejko, P. P.; Nguen, D. F. 120 1987 Weak convergence of orbits of nonlinear operators in reflexive Banach spaces. Zbl 1071.47052 Butnariu, Dan; Reich, Simeon; Zaslavski, Alexander J. 116 2003 Inner, outer, and generalized inverses in Banach and Hilbert spaces. Zbl 0633.47001 Nashed, M. Z. 92 1987 The finite difference methods for fractional ordinary differential equations. Zbl 1267.65094 Li, Changpin; Zeng, Fanhai 91 2013 A characterization of Tyhonov well-posedness for minimum problems, with applications to variational inequalities. Zbl 0479.49025 Lucchetti, R.; Patrone, F. 89 1981 Regularization of exponentially ill-posed problems. Zbl 0969.65041 Hohage, Thorsten 84 2000 A unified framework for some inexact proximal point algorithms. Zbl 1052.49013 Solodov, M. V.; Svaiter, B. F. 83 2001 Fixed-point theorems for set-valued mappings and existence of best approximants. Zbl 0513.41015 Prolla, Joao B. 81 1983 Iteration methods for convexly constrained ill-posed problems in Hilbert space. Zbl 0769.65026 Eicke, Bertolt 78 1992 An approach to non-linear control problems using fixed-point methods, degree theory and pseudo-inverses. Zbl 0563.93013 Quinn, M. D.; Carmichael, N. 78 1984 Extensions of Banach’s contraction principle. Zbl 1200.54021 Basha, S. Sadiq 76 2010 Convergence domains of certain iterative methods for solving nonlinear equations. Zbl 0645.65028 Chen, Xiaojun; Yamamoto, Tetsuro 76 1989 Krasnoselskii’s iteration process in hyperbolic space. Zbl 0505.47046 Kirk, W. A. 67 1982 Rough statistical convergence. Zbl 1159.40002 Aytar, Salih 67 2008 Mann-type steepest-descent and modified hybrid steepest-descent methods for variational inequalities in Banach spaces. Zbl 1163.49002 Ceng, Lu-Chuan; Ansari, Qamrul Hasan; Yao, Jen-Chih 66 2008 A two-term PRP-based descent method. Zbl 1138.90028 Cheng, Wanyou 65 2007 Sampling procedures in function spaces and asymptotic equivalence with Shannon’s sampling theory. Zbl 0794.41024 Aldroubi, Akram; Unser, Michael 62 1994 Mass transshipment problems and ideal metrics. Zbl 0725.60002 Rachev, S. T. 62 1991 A theorem on best approximations. Zbl 0635.41022 Sehgal, V. M.; Singh, S. P. 61 1989 Central factorial numbers; their main properties and some applications. Zbl 0659.10012 Butzer, P. L.; Schmidt, M.; Stark, E. L.; Vogt, L. 61 1989 Steklov eigenproblems and the representation of solutions of elliptic boundary value problems. Zbl 1072.35133 Auchmuty, Giles 60 2004 Existence of solutions for impulsive neutral integro-differential inclusions with nonlocal initial conditions via fractional operators. Zbl 1176.34096 Chang, Yong-Kui; Nieto, Juan J. 60 2009 Rough convergence in normed linear spaces. Zbl 0986.46012 Phu, Hoang Xuan 59 2001 Error analysis for finite element methods for steady natural convection problems. Zbl 0714.76090 Boland, J.; Layton, W. 58 1990 Robust stability of positive continuous time systems. Zbl 0859.93046 Son, N. K.; Hinrichsen, D. 58 1996 Numerical verification methods for solutions of ordinary and partial differential equations. Zbl 1106.65315 Nakao, Mitsuhiro T. 54 2001 Continuous selection theorems in generalized convex spaces. Zbl 0931.54017 Park, Sehie 53 1999 A general approximation scheme for attractors of abstract parabolic problems. Zbl 1110.35012 Carvalho, Alexandre N.; Piskarev, Sergey 53 2006 Discrete approximation of a free discontinuity problem. Zbl 0806.49002 Bellettini, Giovanni; Coscia, Alessandra 52 1994 Convergence of implicit iteration process for a finite family of asymptotically nonexpansive mappings in Banach spaces. Zbl 1041.47048 Zhou, Yuying; Chang, Shih-Sen 52 2002 Numerical methods for stochastic parabolic PDEs. Zbl 0919.65100 Shardlow, Tony 51 1999 On well-posedness of the nonlocal boundary value problems for elliptic equations. Zbl 1055.35018 Ashyralyev, Allaberen 51 2003 Regularizing properties of a truncated Newton-cg algorithm for nonlinear inverse problems. Zbl 0899.65038 Hanke, Martin 51 1997 Weighted composition operators from \(\alpha\)-Bloch space to \(H^{\infty}\) on the polydisc. Zbl 1130.47015 Li, Songxiao; Stević, Stevo 50 2007 On general frame decompositions. Zbl 0849.42023 Li, Shidong 50 1995 Poincaré–Friedrichs inequalities for piecewise \(H^2\) functions. Zbl 1072.65147 Brenner, Susanne C.; Wang, Kening; Zhao, Jie 50 2004 Approximating fixed points of generalized \(\alpha\)-nonexpansive mappings in Banach spaces. Zbl 1367.47069 Pant, Rajendra; Shukla, Rahul 50 2017 The rate of convergence of Dykstra’s cyclic projections algorithm: The polyhedral case. Zbl 0807.41019 Deutsch, Frank; Hundal, Hein 49 1994 Rough convergence in infinite dimensional normed spaces. Zbl 1029.46005 Hoang Xuan Phu 49 2003 Limit shadowing property. Zbl 0881.58049 Eirola, Timo; Nevanlinna, Olavi; Pilyugin, Sergei Yu. 49 1997 Generalized weighted composition operators on weighted Bergman spaces. Zbl 1183.47030 Zhu, Xiangling 48 2009 Results on nonlocal boundary value problems. Zbl 1206.35251 Aksoylu, Burak; Mengesha, Tadele 48 2010 Variational principles for variational inequalities. Zbl 0678.49010 Auchmuty, Giles 47 1989 Inexact versions of proximal point and augmented Lagrangian algorithms in Banach spaces. Zbl 1018.90067 Iusem, Alfredo; Gárciga Otero, Rolando 46 2001 Cordial Volterra integral equations. I. Zbl 1195.45004 Vainikko, Gennadi 46 2009 Optimal control of a phase field model for solidification. Zbl 0724.49003 Hoffmann, K.-H.; Jiang, L. 46 1992 On approximate minima in vector optimization. Zbl 1052.90075 Dutta, J.; Vetrivel, V. 45 2001 A hybrid proximal-extragradient algorithm with inertial effects. Zbl 06514880 Boţ, Radu Ioan; Csetnek, Ernö Robert 44 2015 Semicontinuity of the approximate solution sets of multivalued quasiequilibrium problems. Zbl 1211.90243 Anh, Lam Quoc; Khanh, Phan Quoc 42 2008 The rough limit set and the core of a real sequence. Zbl 1159.40001 Aytar, Salih 42 2008 Study in fractional differential equations by means of topological degree methods. Zbl 1242.34012 Wang, JinRong; Zhou, Yong; Wei, Wei 42 2012 Improving the rate of convergence of high-order finite elements on polyhedra. I: A priori estimates. Zbl 1121.35031 Bacuta, Constantin; Nistor, Victor; Zikatanov, Ludmil T. 41 2005 Adaptive approximation of nonlinear operators. Zbl 1071.65077 Amat, Sergio; Busquier, Sonia; Negra, Mehdi 41 2004 Multiplier techniques for linear multistep methods. Zbl 0469.65051 Nevanlinna, Olavi; Odeh, F. 40 1981 On a class of random variational inequalities on random sets. Zbl 1097.49008 Gwinner, Joachim; Raciti, Fabio 40 2006 A notion of nonlocal curvature. Zbl 1296.53021 Abatangelo, Nicola; Valdinoci, Enrico 40 2014 Quadratic optimization of fixed points of nonexpansive mappings in Hilbert space. Zbl 0911.47051 Yamada, Isao; Ogura, Nobuhiko; Yamashita, Yukihiko; Sakaniwa, Kohichi 40 1998 Generalized contingent epiderivatives in set-valued optimization: Optimality conditions. Zbl 1134.90466 Jahn, Johannes; Khan, Akhtar A. 40 2002 Approximation by nonlinear multivariate sampling Kantorovich type operators and applications to image processing. Zbl 1277.41007 Costarelli, Danilo; Vinti, Gianluca 40 2013 Error estimates in the approximation of optimization problems governed by nonlinear operators. Zbl 1017.49007 Liu, Wenbin; Tiba, Dan 39 2001 A hierarchical presentation of operators with fixed points on Hilbert spaces. Zbl 1100.47044 Crombez, G. 39 2006 A new algorithm for solving the multiple-sets split feasibility problem in Banach spaces. Zbl 1480.47102 Wang, Fenghui 39 2014 Approximation of an elliptic control problem by the finite element method. Zbl 0724.65069 French, Donald A.; King, J. Thomas 39 1991 Nonsmooth multiobjective programming. Zbl 0645.90076 Craven, B. D. 39 1989 A strongly convergent direct method for monotone variational inequalities in Hilbert spaces. Zbl 1161.49002 Bello Cruz, J. Y.; Iusem, A. N. 38 2009 Degree of approximation for nonlinear multivariate sampling Kantorovich operators on some functions spaces. Zbl 1327.41008 Costarelli, Danilo; Vinti, Gianluca 38 2015 On an iterative algorithm of order 1.839…for solving nonlinear operator equations. Zbl 0556.65049 Potra, F.-A. 38 1984 Some extensions of Fan’s best approximation theorem. Zbl 0763.41026 Vetrivel, V.; Veeramani, P.; Bhattacharyya, P. 37 1992 Subdifferential monotonicity as characterization of convex functions. Zbl 0807.49015 Correa, Rafael; Jofré, Alejandro; Thibault, Lionel 37 1994 Best proximity points of \(\mathcal{MT}\)-cyclic contractions with property UC. Zbl 1436.54031 Aydi, Hassen; Lakzian, Hosein; Mitrović, Zoran D.; Radenović, Stojan 37 2020 On the discrete Poincaré-Friedrichs inequalities for nonconforming approximations of the Sobolev space \(H^1\). Zbl 1089.65124 Vohralík, Martin 36 2005 Numerical solution of fractional diffusion-wave equation. Zbl 1382.65236 Chen, An; Li, Changpin 36 2016 Approximation in eigenvalue problems for holomorphic Fredholm operator functions. I. Zbl 0880.47009 Karma, Otto 36 1996 Cordial Volterra integral equations. II. Zbl 1194.65152 Vainikko, Gennadi 36 2010 Set-valued derivatives of multifunctions and optimality conditions. Zbl 1009.90106 Taa, A. 36 1998 Generalized projection algorithms for nonlinear operators. Zbl 1132.47048 Agarwal, Ravi P.; Cho, Yeol Je; Qin, Xiaolong 35 2007 Inexact proximal point methods for equilibrium problems in Banach spaces. Zbl 1144.65041 Iusem, Alfredo N.; Nasri, Mostafa 35 2007 Approximation in eigenvalue problems for holomorphic Fredholm operator functions. II: Convergence rate. Zbl 0880.47010 Karma, Otto 35 1996 Non-strictly convex minimization over the fixed point set of an asymptotically shrinking nonexpansive mapping. Zbl 1178.90346 Ogura, Nobuhiko; Yamada, Isao 35 2002 Methods for variational inequality problem over the intersection of fixed point sets of quasi-nonexpansive operators. Zbl 1272.47078 Cegielski, Andrzej; Zalas, Rafał 35 2013 On the existence of equilibrium points of vector functions. Zbl 0896.90161 Nguyen Xuan Tan; Phan Nhat Tinh 35 1998 Second-order necessary and sufficient conditions in multiobjective programming. Zbl 0764.90076 Wang, Shouyang 34 1991 On application of generalized discrepancy principle to iterative methods for nonlinear ill-posed problems. Zbl 1068.47081 Bakushinsky, Anatoly; Smirnova, Alexandra 34 2005 On well-posedness of difference schemes for abstract parabolic equations in \(L^p([0,T];E)\) spaces. Zbl 1022.65095 Ashyralyev, Allaberen; Piskarev, Serguei; Weis, Lutz 34 2002 Error bounds for Euler approximation of a state and control constrained optimal control problem. Zbl 0969.49013 Dontchev, A. L.; Hager, W. W.; Malanowski, K. 34 2000 On pointwise convergence of \(q\)-Bernstein operators and their \(q\)-derivatives. Zbl 1312.41021 Acar, Tuncer; Aral, Ali 34 2015 Some fixed point theorems and application to biological model. Zbl 1130.47305 Ben Amar, Afif; Jeribi, Aref; Mnif, Maher 33 2008 Constrained convex optimization problems – well-posedness and stability. Zbl 0830.90119 Konsulova, A. S.; Revalski, J. P. 33 1994 Approximate controllability of impulsive fractional integro-differential systems with nonlocal conditions in Hilbert space. Zbl 1288.34074 Balasubramaniam, P.; Vembarasan, V.; Senthilkumar, T. 33 2014 A convergence analysis of a method of steepest descent and a two-step algorithm for nonlinear ill-posed problems. Zbl 0852.65048 Scherzer, Otmar 33 1996 Boundary control of semilinear elliptic equations with discontinuous leading coefficients and unbounded controls. Zbl 0885.49010 Alibert, J.-J.; Raymond, J.-P. 33 1997 Kantorovich operators of order \(k\). Zbl 1236.41023 Gonska, Heiner; Heilmann, Margareta; Raşa, Ioan 33 2011 Domain generalization by functional regression. Zbl 07827113 Holzleitner, Markus; Pereverzyev, Sergei V.; Zellinger, Werner 2 2024 Optimal control results for Sobolev-type fractional stochastic Volterra-Fredholm integrodifferential systems of order \(\vartheta \in (1, 2)\) via sectorial operators. 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