Convergence theorems for equilibrium problem, variational inequality problem and countably infinite relatively quasi-nonexpansive mappings

被引：83

作者：

Zegeye, Habtu ^{[2
]}

Ofoedu, Eric U. ^{[3
]}

Shahzad, Naseer ^{[1
]}

机构：

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

[2] Bahir Dar Univ, Bahir Dar, Ethiopia

[3] Nnamdi Azikiwe Univ, Dept Math, Awka, Anambra State, Nigeria

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 12期

关键词：

Equilibrium problem; gamma-inverse strongly monotone mappings; Monotone mappings; Strong convergence; Strongly monotone mappings; Variational inequality problems; BANACH-SPACES; WEAK; OPERATORS;

D O I：

10.1016/j.amc.2010.02.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce an iterative process which converges strongly to a common element of set of common fixed points of countably infinite family of closed relatively quasi-nonexpansive mappings, the solution set of generalized equilibrium problem and the solution set of the variational inequality problem for a gamma-inverse strongly monotone mapping in Banach spaces. Our theorems improve, generalize, unify and extend several results recently announced. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：3439 / 3449

页数：11

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