Approach to common elements of variational inequality problems and fixed point problems via a relaxed extragradient method

被引：142

作者：

Yao, Yonghong ^{[3
]}

Liou, Yeong-Cheng ^{[4
]}

Kang, Shin Min ^{[1
,2
]}

机构：

[1] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea

[2] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea

[3] Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China

[4] Cheng Shiu Univ, Dept Informat Management, Kaohsiung 833, Taiwan

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 11期

基金：

中国国家自然科学基金;

关键词：

Variational inequality; Fixed point; Monotone mapping; Strictly pseudocontractive mapping; NONEXPANSIVE-MAPPINGS; STRONG-CONVERGENCE; THEOREMS;

D O I：

10.1016/j.camwa.2010.03.036

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 method based on the extragradient method for finding a common element of the set of a general system of variational inequalities and the set of fixed points of a strictly pseudocontractive mapping in a real Hilbert space. Furthermore, we prove that the studied iterative method strongly converges to a common element of the set of a general system of variational inequalities and the set of fixed points of a strictly pseudocontractive mapping under some mild conditions imposed on algorithm parameters. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：3472 / 3480

页数：9

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