STRONG CONVERGENCE THEOREMS FOR FIXED POINT PROBLEM OF INFINITE FAMILY OF NON SELF MAPPINGS AND GENERALIZED EQUILIBRIUM PROBLEMS WITH PERTURBATION IN HILBERT SPACES

被引：0

作者：

Taherian, Mahdi ^{[1
]}

Azhini, Mahdi ^{[1
]}

机构：

[1] Islamic Azad Univ, Sci & Res Branch, Dept Math, Tehran, Iran

来源：

ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES | 2016年 / 15卷 / 02期

关键词：

fixed point; nonexpansive mapping; inverse-strongly monotone mapping; contraction; perturbation; variational inequality; equilibrium problem;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a new iterative method for finding common elements of the set of solutions of a generalized equilibrium problem with perturbation and the set of fixed point of infinitely many nonself-nonexpansive mappings in a Hilbert space. Then, we prove a strong convergence theorem by this method. As an application, we prove three new strong convergence theorems for equilibrium problems with perturbation and variational inequalities.

引用

页码：25 / 51

页数：27

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