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
收藏
页码：285 / 298
页数：14
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