Strong convergence theorems for a solution of finite families of equilibrium and variational inequality problems

被引：12

作者：

Zegeye, H. ^{[1
]}

Shahzad, N. ^{[2
]}

机构：

[1] Univ Botswana, Dept Math, Gaborone, Botswana

[2] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

来源：

OPTIMIZATION | 2014年 / 63卷 / 02期

关键词：

equilibrium problems; monotone mappings; relatively quasi-nonexpansive mappings; strong convergence; variational inequality problems; FIXED-POINT PROBLEMS; RELATIVELY NONEXPANSIVE-MAPPINGS; WEAK-CONVERGENCE; PROJECTION; OPERATORS;

D O I：

10.1080/02331934.2011.635205

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：

We introduce an iterative process for finding an element of common solutions of finite family of equilibrium problems and finite family of variational inequality problems for continuous monotone mappings in Banach spaces. Our theorems improve and unify most of the results that have been proved for this important class of non-linear operators.

引用

页码：207 / 223

页数：17

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