An Iteration Method for Common Solution of a System of Equilibrium Problems in Hilbert Spaces

被引：9

作者：

Kim, Jong Kyu ^{[1
]}

Nguyen Buong ^{[2
]}

机构：

[1] Kyungnam Univ, Dept Math Educ, Masan Kyunganm 631701, South Korea

[2] Vietnamse Acad Sci & Technol, Dept Math, Inst Informat Technol, Hanoi 122100, Vietnam

来源：

FIXED POINT THEORY AND APPLICATIONS | 2011年

关键词：

STRONG-CONVERGENCE THEOREMS; FIXED-POINT PROBLEMS; NONEXPANSIVE-MAPPINGS; VARIATIONAL-INEQUALITIES; EXTRAGRADIENT METHOD; NONLINEAR MAPPINGS; WEAK;

D O I：

10.1155/2011/780764

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The strong convergence theorem is proved for finding a common solution for a system of equilibrium problems: find u* is an element of S := boolean AND(i=1EP)-E-N(F-i), EP(F-i) := {z is an element of C : F-i(z, v) >= 0 for all v is an element of C}, i = 1,..., N, where C is a closed convex subset of a Hilbert space H and F-i are N bifunctions from C x C into R given exactly or approximatively. As an application, finding a common solution for a system of variational inequality problems is given.

引用

页数：15

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