Strong Convergence Theorem for a New General System of Variational Inequalities in Banach Spaces

被引：5

作者：

Imnang, S. ^{[1
,2
]}

Suantai, S. ^{[1
,3
]}

机构：

[1] CHE, Ctr Excellence Math, Bangkok 10400, Thailand

[2] Thaksin Univ, Dept Math, Fac Sci, Phatthalung 93110, Thailand

[3] Chiang Mai Univ, Dept Math, Fac Sci, Chiang Mai 50200, Thailand

来源：

FIXED POINT THEORY AND APPLICATIONS | 2010年

关键词：

FIXED-POINT PROBLEMS; NONEXPANSIVE-MAPPINGS; EQUILIBRIUM PROBLEMS; MONOTONE MAPPINGS; ITERATIVE METHOD; HILBERT SPACE; SEMIGROUPS;

D O I：

10.1155/2010/246808

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a new system of general variational inequalities in Banach spaces. The equivalence between this system of variational inequalities and fixed point problems concerning the nonexpansive mapping is established. By using this equivalent formulation, we introduce an iterative scheme for finding a solution of the system of variational inequalities in Banach spaces. Our main result extends a recent result acheived by Yao, Noor, Noor, Liou, and Yaqoob.

引用

页数：13

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