A New Implicit Hybrid Algorithm for an Equilibrium Problem and a Countable Family of Relatively Nonexpansive Mappings in Banach Spaces

被引：0
|
作者：
Fukhar-ud-din, Hafiz [1 ]
Khan, Muhammad Aqeel Ahmad [1 ]
机构：
[1] Islamia Univ Bahawalpur, Dept Math, Bahawalpur 63100, Pakistan
来源：
THAI JOURNAL OF MATHEMATICS | 2012年 / 10卷 / 01期
关键词：
Relatively nonexpansive mapping; Implicit hybrid algorithm; Asymptotic fixed point; Equilibrium problems; Shrinking projection method;
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 implicit shrinking algorithm for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of a countable family of relatively nonexpansive mappings in the framework of Banach spaces. Our results are refinement as well as generalization of several well-known results in the current literature. As a consequence, we give some applications for solving variational inequality problems and convex minimization problems in Banach spaces.
引用
收藏
页码：13 / 23
页数：11
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