An approximation method for common fixed points of a finite family of asymptotic pointwise nonexpansive mappings

Fixexd point theory and applications

Bancha Nanjaras¹  Bancha Panyanak¹ 

[1] Department of Mathematics, Faculty of Science, Chaing Mai University, Chiang Mai, Thailand

关键词: common fixed point;    asymptotic pointwise nonexpansive mapping;    weak convergence;    strong convergence;    Banach space;    CAT(0) space;   

DOI  :  10.1186/1687-1812-2012-108

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we consider an iterative scheme to approximate a common fixed point for a finite family of asymptotic pointwise nonexpansive mappings. We obtain weak and strong convergence theorems of the proposed iteration in uniformly convex Banach spaces. The related results for complete CAT(0) spaces are also included. MSC:47H09, 47H10.

【 授权许可】

CC BY