Strong Convergence Iterative Algorithms for Equilibrium Problems and Fixed Point Problems in Banach Spaces

被引：6

作者：

Wang, Shenghua ^{[1
]}

Kang, Shin Min ^{[2
,3
]}

机构：

[1] North China Elect Power Univ, Dept Appl Math & Phys, Baoding 071003, Peoples R China

[2] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea

[3] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

关键词：

NONEXPANSIVE-MAPPINGS; HILBERT-SPACES; THEOREMS;

D O I：

10.1155/2013/619762

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We first introduce the concept of Bregman asymptotically quasinonexpansive mappings and prove that the fixed point set of this kind of mappings is closed and convex. Then we construct an iterative scheme to find a common element of the set of solutions of an equilibrium problem and the set of common fixed points of a countable family of Bregman asymptotically quasinonexpansive mappings in reflexive Banach spaces and prove strong convergence theorems. Our results extend the recent ones of some others.

引用

页数：9

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