Generalized mixed equilibrium problem in Banach spaces

被引：108

作者：

Zhang, Shi-sheng ^{[1
]}

机构：

[1] Yibin Univ, Dept Math, Yibin 644007, Sichuan Prov, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2009年 / 30卷 / 09期

关键词：

small generalized mixed equilibrium problem; variational inequality; quasi-phi-nonexpansive mapping; maximal monotone operator; monotone mapping; FIXED-POINT PROBLEMS; APPROXIMATION;

D O I：

10.1007/s10483-009-0904-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper uses a hybrid algorithm to find a common element of the set of solutions to a generalized mixed equilibrium problem, the set of solutions to variational inequality problems, and the set of common fixed points for a finite family of quasi-I center dot-nonexpansive mappings in a uniformly smooth and strictly convex Banach space. As applications, we utilize our results to study the optimization problem. It shows that our results improve and extend the corresponding results announced by many others recently.

引用

页码：1105 / 1112

页数：8

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