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

作者：Nanjaras Bancha; Panyanak Bancha^*

来源：Fixed Point Theory and Applications, 2012, 1-13.

DOI：10.1186/1687-1812-2012-108

• common fixed point
• asymptotic pointwise nonexpansive mapping
• weak convergence
• strong convergence
• Banach space
• CAT(0) space

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.

• 出版日期2012