Strong convergence theorems for firmly nonexpansive-type mappings and equilibrium problems in Banach spaces

被引：11

作者：

Chen, Jia-wei ^{[1
]}

Wan, Zhongping ^{[1
]}

Zou, Yunzhi ^{[2
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

[2] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

来源：

OPTIMIZATION | 2013年 / 62卷 / 04期

关键词：

strong convergence theorem; firmly nonexpansive-type mapping; equilibrium problem; fixed point; generalized projection operator; 47H09; 47J05; 47J25; MAXIMAL MONOTONE-OPERATORS; GENERALIZED PROJECTION; WEAK; APPROXIMATION; ALGORITHM;

D O I：

10.1080/02331934.2011.626779

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this article, we propose and investigate several iterative methods for approximating fixed points of a firmly nonexpansive-type mapping and for finding a common element of the set of fixed points of the firmly nonexpansive-type mapping and the set of solutions of an equilibrium problem in Banach space. By using the conception of generalized projection, strong convergence theorems for firmly nonexpansive-type mappings and equilibrium problems in Banach space are established under suitable assumptions, which extend and modify some known results in the literature.

引用

页码：483 / 497

页数：15

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