Zhou, Wu; Shan, Shu-qiang; Wang, Yi-lin A system of generalized implicit variational inclusions in Banach spaces. (English) Zbl 1358.49012 Commun. Appl. Nonlinear Anal. 23, No. 3, 47-56 (2016). MSC: 49J40 47H10 PDFBibTeX XMLCite \textit{W. Zhou} et al., Commun. Appl. Nonlinear Anal. 23, No. 3, 47--56 (2016; Zbl 1358.49012)
Anastassiou, George A.; Argyros, Ioannis K. A unified convergence analysis for a certain family of iterative algorithms with applications to fractional calculus. (English) Zbl 1346.65025 Commun. Appl. Nonlinear Anal. 22, No. 4, 62-78 (2015). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{G. A. Anastassiou} and \textit{I. K. Argyros}, Commun. Appl. Nonlinear Anal. 22, No. 4, 62--78 (2015; Zbl 1346.65025)
Kim, Jong Kyu; Dashputre, Samir; Hyun, Ho Geun Convergence theorems of \(S\)-iteration process for quasi-contractive mappings in Banach spaces. (English) Zbl 1315.47066 Commun. Appl. Nonlinear Anal. 21, No. 4, 89-99 (2014). MSC: 47J25 47H09 PDFBibTeX XMLCite \textit{J. K. Kim} et al., Commun. Appl. Nonlinear Anal. 21, No. 4, 89--99 (2014; Zbl 1315.47066)
Bay, Nguyen S. On the exponential stability of nonlinear difference equations in Banach spaces. (English) Zbl 1311.93065 Commun. Appl. Nonlinear Anal. 21, No. 4, 16-26 (2014). MSC: 93D15 39A12 39A30 PDFBibTeX XMLCite \textit{N. S. Bay}, Commun. Appl. Nonlinear Anal. 21, No. 4, 16--26 (2014; Zbl 1311.93065)
Argyros, I. K.; Khattri, S. K. A convergence analysis of an \(R\)-order four method with reduced computational cost in Banach spaces. (English) Zbl 1307.65073 Commun. Appl. Nonlinear Anal. 21, No. 2, 1-12 (2014). Reviewer: José Manuel Gutiérrez Jimenez (Logrono) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. K. Khattri}, Commun. Appl. Nonlinear Anal. 21, No. 2, 1--12 (2014; Zbl 1307.65073)
Argyros, Ioannis K.; Ren, Hongmin On the semilocal convergence of derivative free Chebyshev-Kurchatov three step method for solving equations. (English) Zbl 1306.65206 Commun. Appl. Nonlinear Anal. 21, No. 1, 55-64 (2014). Reviewer: Werner H. Schmidt (Greifswald) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{H. Ren}, Commun. Appl. Nonlinear Anal. 21, No. 1, 55--64 (2014; Zbl 1306.65206)
Dhage, Bapurao C.; Ntouyas, Sotiris K.; Patil, Vilas S. On some common random fixed point theorems with PPF dependence in Banach spaces. (English) Zbl 1290.47055 Commun. Appl. Nonlinear Anal. 19, No. 4, 67-81 (2012). Reviewer: Ruhollah Jahanipur (Kashan) MSC: 47H10 34K10 47H40 PDFBibTeX XMLCite \textit{B. C. Dhage} et al., Commun. Appl. Nonlinear Anal. 19, No. 4, 67--81 (2012; Zbl 1290.47055)
Zhu, Jinhua; Chang, Shihsen; Liu, Min Algorithms with strong convergence for a system of general nonlinear variational inequalities in Banach spaces. (English) Zbl 1301.47094 Commun. Appl. Nonlinear Anal. 19, No. 1, 43-57 (2012). MSC: 47J25 47H09 47H05 47J20 PDFBibTeX XMLCite \textit{J. Zhu} et al., Commun. Appl. Nonlinear Anal. 19, No. 1, 43--57 (2012; Zbl 1301.47094)
Argyros, Ioannis K.; Ren, Hongmin A note on the iteratively regularized Gauss-Newton method under center-Lipschitz conditions. (English) Zbl 1235.65056 Commun. Appl. Nonlinear Anal. 18, No. 4, 89-96 (2011). MSC: 65J15 65J20 47J25 65L10 34B15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{H. Ren}, Commun. Appl. Nonlinear Anal. 18, No. 4, 89--96 (2011; Zbl 1235.65056)
Das, Prasanta Kumar On a class of \(T\)-\(\eta\)-hyperinvex function and generalized hyper differential dominated vector variational inequality problem. (English) Zbl 1240.65199 Commun. Appl. Nonlinear Anal. 18, No. 4, 7-22 (2011). Reviewer: Jan Lovíšek (Bratislava) MSC: 65K15 90C33 47J40 PDFBibTeX XMLCite \textit{P. K. Das}, Commun. Appl. Nonlinear Anal. 18, No. 4, 7--22 (2011; Zbl 1240.65199)
Chang, Shih-sen; Wang, Xiong Rui; Lee, H. W. Joseph; Chan, Chi Kin Strong convergence theorems for asymptotically relatively nonexpansive mappings with application. (English) Zbl 1301.47081 Commun. Appl. Nonlinear Anal. 18, No. 1, 45-60 (2011). MSC: 47J25 47H09 PDFBibTeX XMLCite \textit{S.-s. Chang} et al., Commun. Appl. Nonlinear Anal. 18, No. 1, 45--60 (2011; Zbl 1301.47081)
Benchohra, Mouffak; Litimein, Sara A global uniqueness result for abstract integral equations of Volterra type in Banach spaces. (English) Zbl 1239.45009 Commun. Appl. Nonlinear Anal. 18, No. 1, 37-44 (2011). Reviewer: Dan-Mircea Borş (Iaşi) MSC: 45N05 45D05 45G10 PDFBibTeX XMLCite \textit{M. Benchohra} and \textit{S. Litimein}, Commun. Appl. Nonlinear Anal. 18, No. 1, 37--44 (2011; Zbl 1239.45009)
Chang, Shih-sen; Liu, Jing Ai A new iterative method for solving a system of generalized variational inequalities in Banach spaces. (English) Zbl 1217.47112 Commun. Appl. Nonlinear Anal. 17, No. 2, 103-113 (2010). Reviewer: Edward Prempeh (Kumasi) MSC: 47J25 47H05 47J20 47H09 PDFBibTeX XMLCite \textit{S.-s. Chang} and \textit{J. A. Liu}, Commun. Appl. Nonlinear Anal. 17, No. 2, 103--113 (2010; Zbl 1217.47112)
Argyros, Ioannis K. On a two-step Newton method for solving equations under improved Ptak-type estimates. (English) Zbl 1156.65051 Commun. Appl. Nonlinear Anal. 15, No. 1, 85-93 (2008). Reviewer: Zhen Mei (Toronto) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Commun. Appl. Nonlinear Anal. 15, No. 1, 85--93 (2008; Zbl 1156.65051)
Abbas, Mujahid; Beg, Ismat Coupled random fixed points of random multivalued operator on ordered Banach spaces. (English) Zbl 1122.47048 Commun. Appl. Nonlinear Anal. 13, No. 4, 31-42 (2006). MSC: 47H40 47H10 47H04 47H07 47H09 54H25 60H25 PDFBibTeX XMLCite \textit{M. Abbas} and \textit{I. Beg}, Commun. Appl. Nonlinear Anal. 13, No. 4, 31--42 (2006; Zbl 1122.47048)
Ye, Xintao; Xu, Xiubin; Luo, Xianfa Best approximation in \(L_p (\Omega, X)\). (English) Zbl 1084.41015 Commun. Appl. Nonlinear Anal. 12, No. 4, 29-36 (2005). Reviewer: Daniel Wulbert (La Jolla) MSC: 41A30 41A65 PDFBibTeX XMLCite \textit{X. Ye} et al., Commun. Appl. Nonlinear Anal. 12, No. 4, 29--36 (2005; Zbl 1084.41015)
Benchohra, M.; Ouahab, A.; Henderson, J.; Ntouyas, S. K. A note on multiple solutions for impulsive functional differential equations. (English) Zbl 1144.34387 Commun. Appl. Nonlinear Anal. 12, No. 3, 61-70 (2005). Reviewer: Anatoly Martynyuk (Kyïv) MSC: 34K45 34K25 PDFBibTeX XMLCite \textit{M. Benchohra} et al., Commun. Appl. Nonlinear Anal. 12, No. 3, 61--70 (2005; Zbl 1144.34387)
Cho, Yeol Je; Kang, Shin Min; Zhou, Haiyun Some control conditions on iterative methods. (English) Zbl 1088.47053 Commun. Appl. Nonlinear Anal. 12, No. 2, 27-34 (2005). Reviewer: Nan-Jing Huang (Chengdu) MSC: 47J25 47H09 65J15 PDFBibTeX XMLCite \textit{Y. J. Cho} et al., Commun. Appl. Nonlinear Anal. 12, No. 2, 27--34 (2005; Zbl 1088.47053)
Hao, Jinbao; An, Zhefu; Kang, Shin Min; Kim, Hyeong Kug Iterative approximation of fixed points for a class of generalized nonexpansive mappings. (English) Zbl 1070.54019 Commun. Appl. Nonlinear Anal. 12, No. 1, 69-75 (2005). Reviewer: Salvatore Sessa (Napoli) MSC: 54H25 47H09 PDFBibTeX XMLCite \textit{J. Hao} et al., Commun. Appl. Nonlinear Anal. 12, No. 1, 69--75 (2005; Zbl 1070.54019)
Argyros, Ioannis K. On the convergence of Newton’s method under twice-Fréchet differentiability only at a point. (English) Zbl 1079.65061 Commun. Appl. Nonlinear Anal. 12, No. 1, 51-58 (2005). Reviewer: Otu Vaarmann (Tallinn) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Commun. Appl. Nonlinear Anal. 12, No. 1, 51--58 (2005; Zbl 1079.65061) Full Text: EuDML
Argyros, Ioannis K. On the convergence of Broyden’s method. (English) Zbl 1059.65050 Commun. Appl. Nonlinear Anal. 11, No. 3, 77-86 (2004). Reviewer: Jiří Vaníček (Praha) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Commun. Appl. Nonlinear Anal. 11, No. 3, 77--86 (2004; Zbl 1059.65050)
Argyros, Ioannis K. Concerning the convergence and application of Newton’s method under hypotheses on the first and second Fréchet derivative. (English) Zbl 1057.65026 Commun. Appl. Nonlinear Anal. 11, No. 1, 103-119 (2004). Reviewer: Zhen Mei (Toronto) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Commun. Appl. Nonlinear Anal. 11, No. 1, 103--119 (2004; Zbl 1057.65026)
Karna, Basant Eigenvalue comparisons for \(m\)-point boundary value problems. (English) Zbl 1052.34039 Commun. Appl. Nonlinear Anal. 11, No. 1, 73-83 (2004). Reviewer: Rudolf Kodnár (Bratislava) MSC: 34C10 34B05 34B10 34L15 PDFBibTeX XMLCite \textit{B. Karna}, Commun. Appl. Nonlinear Anal. 11, No. 1, 73--83 (2004; Zbl 1052.34039)
Argyros, Ioannis K. On an application of a fixed point theorem to the convergence of inexact Newton-like methods. (English) Zbl 1017.65055 Commun. Appl. Nonlinear Anal. 10, No. 1, 101-107 (2003). MSC: 65J15 85A25 47J25 45G10 65R20 PDFBibTeX XMLCite \textit{I. K. Argyros}, Commun. Appl. Nonlinear Anal. 10, No. 1, 101--107 (2003; Zbl 1017.65055)
Argyros, Ioannis K. On the convergence of Newton-like methods using quasicontractive operators. (English) Zbl 1017.65054 Commun. Appl. Nonlinear Anal. 10, No. 1, 93-100 (2003). MSC: 65J15 47J25 45G10 65R20 PDFBibTeX XMLCite \textit{I. K. Argyros}, Commun. Appl. Nonlinear Anal. 10, No. 1, 93--100 (2003; Zbl 1017.65054)
Argyros, Ioannis K. The secant method under weak assumptions. (English) Zbl 1034.65038 Commun. Appl. Nonlinear Anal. 9, No. 4, 115-126 (2002). Reviewer: Palaniappan Vijayaraj (Chennai) MSC: 65J15 47J25 34B15 65L10 PDFBibTeX XMLCite \textit{I. K. Argyros}, Commun. Appl. Nonlinear Anal. 9, No. 4, 115--126 (2002; Zbl 1034.65038)
Argyros, Ioannis K. A unified approach for constructing fast two-step Newton methods. (English) Zbl 1025.65031 Commun. Appl. Nonlinear Anal. 9, No. 4, 87-114 (2002). Reviewer: W.C.Rheinboldt (Pittsburgh) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Commun. Appl. Nonlinear Anal. 9, No. 4, 87--114 (2002; Zbl 1025.65031)
Argyros, Ioannis K. The asymptotic mesh independence principle for Newton-Galerkin methods using twice Fréchet differentiable operators without Lipschitz conditions. (English) Zbl 1017.65053 Commun. Appl. Nonlinear Anal. 9, No. 4, 67-75 (2002). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Commun. Appl. Nonlinear Anal. 9, No. 4, 67--75 (2002; Zbl 1017.65053)
Argyros, Ioannis K. Relations between Newton’s method and its discretizations using center Lipschitz conditions. (English) Zbl 1017.65052 Commun. Appl. Nonlinear Anal. 9, No. 4, 61-66 (2002). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Commun. Appl. Nonlinear Anal. 9, No. 4, 61--66 (2002; Zbl 1017.65052)
Su, Meng Global one-to-one and surjection by means of attraction basins. (English) Zbl 1029.47039 Commun. Appl. Nonlinear Anal. 9, No. 3, 47-56 (2002). Reviewer: Grzegorz Swiatek (University Park) MSC: 47J07 37C05 34G20 46G05 58C15 46T20 PDFBibTeX XMLCite \textit{M. Su}, Commun. Appl. Nonlinear Anal. 9, No. 3, 47--56 (2002; Zbl 1029.47039)
Shimoji, Kazuya; Takahashi, Wataru Approximating fixed points of infinite nonexpansive mappings. (English) Zbl 1020.47063 Commun. Appl. Nonlinear Anal. 8, No. 4, 47-61 (2001). Reviewer: V.Popa (Bacau) MSC: 47J25 47H10 PDFBibTeX XMLCite \textit{K. Shimoji} and \textit{W. Takahashi}, Commun. Appl. Nonlinear Anal. 8, No. 4, 47--61 (2001; Zbl 1020.47063)
Argyros, Ioannis K. Error bounds for the midpoint method in Banach spaces. (English) Zbl 0992.65056 Commun. Appl. Nonlinear Anal. 8, No. 3, 103-117 (2001). Reviewer: Karel Najzar (Praha) MSC: 65J15 47J25 65R20 45G10 PDFBibTeX XMLCite \textit{I. K. Argyros}, Commun. Appl. Nonlinear Anal. 8, No. 3, 103--117 (2001; Zbl 0992.65056)
Zhou, Haiyun; Cho, Yeol Je; Kang, Shin Min Approximating the zeros of accretive operators by the Ishikawa iterative scheme with mixed errors. (English) Zbl 1004.47046 Commun. Appl. Nonlinear Anal. 8, No. 3, 27-35 (2001). MSC: 47J25 47H06 65J15 PDFBibTeX XMLCite \textit{H. Zhou} et al., Commun. Appl. Nonlinear Anal. 8, No. 3, 27--35 (2001; Zbl 1004.47046)
Argyros, Ioannis K. On controlling the residuals of some iterative methods. (English) Zbl 0992.65055 Commun. Appl. Nonlinear Anal. 8, No. 2, 67-72 (2001). Reviewer: Karel Najzar (Praha) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Commun. Appl. Nonlinear Anal. 8, No. 2, 67--72 (2001; Zbl 0992.65055)
Argyros, Ioannis K. On the local convergence of \(m\)-step Newton methods and \(j\)-Frechet differentiable operators with applications on a vector supercomputer. (English) Zbl 0992.65054 Commun. Appl. Nonlinear Anal. 8, No. 1, 97-104 (2001). Reviewer: Etienne Emmrich (Berlin) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Commun. Appl. Nonlinear Anal. 8, No. 1, 97--104 (2001; Zbl 0992.65054)
Argyros, Ioannis K. A new convergence theorem for the secant method in Banach space and applications. (English) Zbl 0992.65053 Commun. Appl. Nonlinear Anal. 8, No. 1, 89-95 (2001). Reviewer: Etienne Emmrich (Berlin) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Commun. Appl. Nonlinear Anal. 8, No. 1, 89--95 (2001; Zbl 0992.65053) Full Text: EuDML
Argyros, Ioannis K. Semilocal convergence results for Newton-like methods using Kantorovich quasi-majorant functions involving the first derivative. (English) Zbl 0992.65052 Commun. Appl. Nonlinear Anal. 8, No. 1, 79-87 (2001). Reviewer: Etienne Emmrich (Berlin) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Commun. Appl. Nonlinear Anal. 8, No. 1, 79--87 (2001; Zbl 0992.65052)
Argyros, Ioannis K. On the convergence of an Euler-Chebysheff-type method using divided differences of order one. (English) Zbl 1110.65306 Commun. Appl. Nonlinear Anal. 7, No. 4, 71-86 (2000). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Commun. Appl. Nonlinear Anal. 7, No. 4, 71--86 (2000; Zbl 1110.65306)
Argyros, Ioannis K. Iterative methods of order between 1.618 and 1.839. (English) Zbl 1110.65305 Commun. Appl. Nonlinear Anal. 7, No. 4, 59-70 (2000). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Commun. Appl. Nonlinear Anal. 7, No. 4, 59--70 (2000; Zbl 1110.65305)
Argyros, Ioannis K. The Steffensen method on special Banach spaces. (English) Zbl 1110.65304 Commun. Appl. Nonlinear Anal. 7, No. 4, 49-58 (2000). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Commun. Appl. Nonlinear Anal. 7, No. 4, 49--58 (2000; Zbl 1110.65304)
Takahashi, W.; Tsukiyama, N. Approximating fixed points of nonexpansive mappings with compact domains. (English) Zbl 1110.47310 Commun. Appl. Nonlinear Anal. 7, No. 4, 39-47 (2000). MSC: 47H10 47H09 47J25 PDFBibTeX XMLCite \textit{W. Takahashi} and \textit{N. Tsukiyama}, Commun. Appl. Nonlinear Anal. 7, No. 4, 39--47 (2000; Zbl 1110.47310)
Argyros, Ioannis K. Convergence results for nonlinear equations under generalized Hölder continuity assumptions. (English) Zbl 1110.65301 Commun. Appl. Nonlinear Anal. 7, No. 2, 57-72 (2000). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Commun. Appl. Nonlinear Anal. 7, No. 2, 57--72 (2000; Zbl 1110.65301)
Thakur, B. S.; Jung, Jong S.; Cho, Yeol Je Random fixed points of asymptotically regular mappings. (English) Zbl 1110.47312 Commun. Appl. Nonlinear Anal. 6, No. 1, 61-71 (1999). MSC: 47H40 47H10 PDFBibTeX XMLCite \textit{B. S. Thakur} et al., Commun. Appl. Nonlinear Anal. 6, No. 1, 61--71 (1999; Zbl 1110.47312)
Liu, Xinzhi; Guo, Dajun Initial value problems for first order impulsive integro-differential equations in Banach spaces. (English) Zbl 0858.34068 Commun. Appl. Nonlinear Anal. 2, No. 1, 65-83 (1995). MSC: 34K30 34A37 34G20 34C10 PDFBibTeX XMLCite \textit{X. Liu} and \textit{D. Guo}, Commun. Appl. Nonlinear Anal. 2, No. 1, 65--83 (1995; Zbl 0858.34068)
Alber, Ya. I.; Notik, A. I. On some estimates for projection operators in Banach spaces. (English) Zbl 0867.49010 Commun. Appl. Nonlinear Anal. 2, No. 1, 47-55 (1995). MSC: 49J40 41A65 49J27 65K10 47J10 PDFBibTeX XMLCite \textit{Ya. I. Alber} and \textit{A. I. Notik}, Commun. Appl. Nonlinear Anal. 2, No. 1, 47--55 (1995; Zbl 0867.49010) Full Text: arXiv
Ayerbe, J. M.; Dominguez Benavides, T.; Cutillas, S. Francisco Some noncompact convexity moduli for the property \((\beta)\) of Rolewicz. (English) Zbl 0861.46006 Commun. Appl. Nonlinear Anal. 1, No. 1, 87-98 (1994). MSC: 46B20 47H09 PDFBibTeX XMLCite \textit{J. M. Ayerbe} et al., Commun. Appl. Nonlinear Anal. 1, No. 1, 87--98 (1994; Zbl 0861.46006)
Reich, Simeon; Xu, Hong-Kun Nonlinear ergodic theory for semigroups of Lipschitzian mappings. (English) Zbl 0859.47043 Commun. Appl. Nonlinear Anal. 1, No. 3, 47-60 (1994). MSC: 47H20 47H09 PDFBibTeX XMLCite \textit{S. Reich} and \textit{H.-K. Xu}, Commun. Appl. Nonlinear Anal. 1, No. 3, 47--60 (1994; Zbl 0859.47043)