A New Iterative Method for Solving Equilibrium Problems and Fixed Point Problems for Infinite Family of Nonexpansive Mappings

被引：5

作者：

Wang, Shenghua ^{[3
]}

Cho, Yeol Je ^{[1
,2
]}

Qin, Xiaolong ^{[4
]}

机构：

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

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

[3] N China Elect Power Univ, Sch Math & Phys, Baoding 071003, Peoples R China

[4] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China

来源：

FIXED POINT THEORY AND APPLICATIONS | 2010年

关键词：

STEEPEST-DESCENT METHODS; APPROXIMATION METHODS; CONVERGENCE THEOREMS;

D O I：

10.1155/2010/165098

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a new iterative scheme for finding a common element of the solutions sets of a finite family of equilibrium problems and fixed points sets of an infinite family of nonexpansive mappings in a Hilbert space. As an application, we solve a multiobjective optimization problem using the result of this paper.

引用

页数：18

共 20 条

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