Convergence theorems for maximal monotone operators and fixed point problems in Banach spaces

被引：8

作者：

Shehu, Yekini ^{[1
]}

机构：

[1] Univ Nigeria, Dept Math, Nsukka, Nigeria

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 239卷

关键词：

Left Bregman strongly relatively; nonexpansive mapping; Left Bregman projection; Maximal monotone operator; Integral equations of Hammerstein type; NONLINEAR INTEGRAL-EQUATIONS; ITERATIVE APPROXIMATION; NONEXPANSIVE OPERATORS; EXISTENCE; ALGORITHM; MAPPINGS; SYSTEMS;

D O I：

10.1016/j.amc.2014.04.083

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our purpose in this paper is to prove strong convergence theorems for approximation of a common zero of a finite family of maximal monotone operators which is also a fixed point for a left Bregman strongly relatively nonexpansive mapping in a reflexive Banach space. We also apply our results to approximation of solutions of nonlinear integral equations of Hammerstein type in reflexive Banach spaces. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：285 / 298

页数：14

共 50 条

[21] WEAK AND STRONG CONVERGENCE THEOREMS OF PROXIMAL POINT ALGORITHM FOR SOLVING GENERALIZED MIXED EQUILIBRIUM PROBLEMS AND FINDING ZEROES OF MAXIMAL MONOTONE OPERATORS IN BANACH SPACES
Phuengrattanai, Withun
Suantai, Suthep
Wattanawitoon, Kriengsak
Witthayarat, Uamporn
Kumam, Poom
[J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 16 (02) : 264 - 281
[22] Strong convergence theorems for variational inequalities and fixed point problems in Banach spaces
Nnakwe, M. O.
Ezeora, J. N.
[J]. CARPATHIAN JOURNAL OF MATHEMATICS, 2021, 37 (03) : 477 - 487
[23] Strong Convergence Theorems by Hybrid Methods for Maximal Monotone Operators and Relatively Nonexpansive Mappings in Banach Spaces
Inoue, Go
Takahashi, Wataru
Zembayashi, Kei
[J]. JOURNAL OF CONVEX ANALYSIS, 2009, 16 (3-4) : 791 - 806
[24] A strong convergence theorem for maximal monotone operators in Banach spaces with applications
Chidume, C. E.
De Souza, G. S.
Romanus, O. M.
Nnyaba, U., V
[J]. CARPATHIAN JOURNAL OF MATHEMATICS, 2020, 36 (02) : 229 - 240
[25] On the convergence of sequence of maximal monotone operators of type (D) in Banach spaces
S. R. Pattanaik
D. K. Pradhan
[J]. Positivity, 2019, 23 : 1009 - 1020
[26] On the convergence of sequence of maximal monotone operators of type (D) in Banach spaces
Pattanaik, S. R.
Pradhan, D. K.
[J]. POSITIVITY, 2019, 23 (04) : 1009 - 1020
[27] Strong Convergence Theorems of Common Elements for Equilibrium Problems and Fixed Point Problems in Banach Spaces
Xing-hui GAO 1
[J]. Acta Mathematicae Applicatae Sinica, 2012, (02) : 337 - 350
[28] Strong Convergence Theorems of Common Elements for Equilibrium Problems and Fixed Point Problems in Banach Spaces
Gao, Xing-hui
Zhou, Hai-yun
[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2012, 28 (02): : 337 - 350
[29] Weak convergence theorems for split feasibility problems on zeros of the sum of monotone operators and fixed point sets in Hilbert spaces
Suwannaprapa M.
Petrot N.
Suantai S.
[J]. Fixed Point Theory and Applications, 2017 (1)
[30] Strong convergence theorems of common elements for equilibrium problems and fixed point problems in banach spaces
Xing-hui Gao
Hai-yun Zhou
[J]. Acta Mathematicae Applicatae Sinica, English Series, 2012, 28 : 337 - 350

← 1 2 3 4 5 →