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

被引：0

作者：

Gang Cai

Shangquan Bu

机构：

[1] Tsinghua University,Department of Mathematical Sciences

来源：

Journal of Global Optimization | 2013年 / 55卷

关键词：

Strong convergence; Fixed point; Nonexpansive mapping; Variational inequality; Banach space; 47H09; 47H10;

D O I：

暂无

中图分类号：

学科分类号：

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：20

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