Convergence theorems of common fixed points for some semigroups of nonexpansive mappings in complete CAT(0) spaces

Fixexd point theory and applications

Zenn-Tsun Yu¹  Chih-Sheng Chuang²  Lai-Jiu Lin² 

[1] Department of Electronic Engineering, Nan Kai University of Technology, Nantour, Taiwan;Department of Mathematics, National Changhua University of Education, Changhua, Taiwan

关键词: common fixed point;    CAT(0) space;    nonexpansive semigroup;    implicit iteration process;   

DOI  :  10.1186/1687-1812-2012-155

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider some iteration processes for one-parameter continuous semigroups of nonexpansive mappings in a nonempty compact convex subset C of a complete CAT(0) space X and prove that the proposed sequence converges to a common fixed point for these semigroups of nonexpansive mappings. Note that our results generalize Cho et al. result (Nonlinear Anal. 74:6050-6059, 2011) and related results.

【 授权许可】

CC BY