An implicit algorithm for two finite families of nonexpansive maps in hyperbolic spaces

Fixexd point theory and applications

Hafiz Fukhar-ud-din¹  Abdul Rahim Khan¹  Muhammad Aqeel Ahmad Khan² 

[1] Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudia Arabia;Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan

关键词: hyperbolic space;    nonexpansive map;    common fixed point;    implicit algorithm;    condition(A);    semi-compactness;    Δ-convergence;   

DOI  :  10.1186/1687-1812-2012-54

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we propose and analyze an implicit algorithm for two finite families of nonexpansive maps in hyperbolic spaces. Results concerning Δ-convergence as well as strong convergence of the proposed algorithm are proved. Our results are refinement and generalization of several recent results in CAT(0) spaces and uniformly convex Banach spaces. Mathematics Subject Classification (2010): Primary: 47H09; 47H10; Secondary: 49M05.

【 授权许可】

CC BY