相对非扩张映射和均衡问题的投影迭代算法(英文)  

Projection Iterative Algorithms for Relatively Nonexpansive Mappings and Equilibrium Problems

作　　者：郝自军[1,2] 陈加伟[2,3] 张涛[3] 

机构地区：[1]北方民族大学信息与计算科学学院,宁夏银川750021 [2]武汉大学数学与统计学院,湖北武汉430072 [3]长江大学信息与数学学院,湖北荆州434023

出　　处：《应用数学》2013年第2期300-307,共8页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China (71171150);the Fundamental Research Fund for the First and Central Universities

摘　　要：本文利用广义f-投影,在Banach空间中,建立求解相对非扩张映射不动点集合和均衡问题解集的公共元素的迭代算法.在适当条件下,我们也得到关于相对非扩张映射和均衡问题的强收敛性定理.In this paper,by using generalized f-projection,we construct an iterative methods for finding a common element of the set of fixed points of a relatively nonexpansive mapping and the set of solutions of an equilibrium problem in Banach space.The strong convergence theorems for relatively nonexpansive mappings and equilibrium problems are also derived under suitable assumptions.

关 键 词：强收敛性定理 相对非扩张映射 均衡问题 

分 类 号：O177[理学—数学]