Modified extragradient methods for variational inequality problems and fixed point problems for an infinite family of nonexpansive mappings in Banach spaces

被引：20

作者：

Cai, Gang ^{[1
]}

Bu, Shangquan ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2013年 / 55卷 / 02期

关键词：

Strong convergence; Fixed point; Nonexpansive mapping; Variational inequality; Banach space; STRONG-CONVERGENCE THEOREMS; ITERATIVE METHODS; APPROXIMATION; SEMIGROUPS;

D O I：

10.1007/s10898-012-9883-6

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 paper, we introduce a new general iterative algorithm for finding a common element of the set of common fixed points of an infinite family of nonexpansive mappings and the set of solutions of a general variational inequality for two inverse-strongly accretive mappings in Banach space. We obtain some strong convergence theorems by a modified extragradient method under suitable conditions. Our results extend the recent results announced by many others.

引用

页码：437 / 457

页数：21

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