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
收藏
页码：25 / 51
页数：27
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