A hybrid method for a family of relatively quasi-nonexpansive mappings and an equilibrium problem in Banach spaces

被引：0
|
作者：
Prasit Cholamjiak
Suthep Suantai
机构：
[1] Chiang Mai University,Department of Mathematics, Faculty of Science
[2] Chiang Mai University,Materials Science Research Center, Faculty of Science
来源：
Journal of Global Optimization | 2012年 / 54卷
关键词：
Common fixed points; Equilibrium problems; Mosco convergence; Relatively quasi-nonexpansive mappings; Shrinking projection algorithm;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We introduce a hybrid method for finding a common element in the solutions set of an equilibrium problem and the common fixed points set of a countable family of relatively quasi-nonexpansive mappings in a Banach space. A strong convergence theorem of the proposed method is established by using the concept of the Mosco convergence when the family {Tn} satisfies the (*)-condition. The examples of three generated mappings which satisfy the (*)-condition are also given. Using the obtained result, we give some applications concerning the variational inequality problem and the convex minimization problem.
引用
收藏
页码：83 / 100
页数：17
相关论文
共 50 条
12345