Algorithms with strong convergence for a system of nonlinear variational inequalities in Banach spaces

被引：38

作者：

Yao, Yonghong ^{[3
]}

Liou, Yeong-Cheng ^{[4
]}

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

Yu, Youli ^{[5
]}

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 300387, Peoples R China

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

[5] Taizhou Univ, Sch Math & Informat Engn, Linhai 317000, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 17期

关键词：

Inverse strongly accretive mapping; Sunny nonexpansive; Variational inequality; Fixed point; 2-uniformly smooth Banach spaces; NONEXPANSIVE-MAPPINGS; EXTRAGRADIENT METHOD; MONOTONE MAPPINGS; PROJECTION METHODS; THEOREMS; WEAK;

D O I：

10.1016/j.na.2011.05.079

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a general system of nonlinear variational inequality problem in Banach spaces was considered, which includes some existing problems as special cases. For solving this nonlinear variational inequality problem, we construct two methods which were inspired and motivated by Korpelevich's extragradient method. Furthermore, we prove that the suggested algorithms converge strongly to some solutions of the studied variational inequality. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：6024 / 6034

页数：11

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