Weak Convergence Theorems for a System of Mixed Equilibrium Problems and Nonspreading Mappings in a Hilbert Space

被引：17

作者：

Plubtieng, Somyot ^{[1
]}

Sombut, Kamonrat ^{[1
]}

机构：

[1] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2010年

关键词：

Hilbert Space; Variational Inequality; Equilibrium Problem; Nonexpansive Mapping; Real Hilbert Space;

D O I：

10.1155/2010/246237

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce an iterative sequence and prove a weak convergence theorem for finding a solution of a system of mixed equilibrium problems and the set of fixed points of a quasi-nonexpansive mapping in Hilbert spaces. Moreover, we apply our result to obtain a weak convergence theorem for finding a solution of a system of mixed equilibrium problems and the set of fixed points of a nonspreading mapping. The result obtained in this paper improves and extends the recent ones announced by Moudafi (2009), Iemoto and Takahashi (2009), and many others. Using this result, we improve and unify several results in fixed point problems and equilibrium problems.

引用

页数：12

共 15 条

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[2]

CENG LC, 2008, J COMPUTATIONAL APPL, V214, P201

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