Common fixed point and invariant approximation in hyperbolic ordered metric spaces

Fixexd point theory and applications

Mohamed Amine Khamsi¹  Abdul Rahim Khan²  Mujahid Abbas³ 

[1] Department of Mathematical Sciences, The University of Texas at El Paso, El Paso, USA;Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia;Department of Mathematics, Lahore University of Management Sciences, Lahore, Pakistan

关键词: Hyperbolic metric space;    common fixed point;    ordered asymptotically S-nonexpansive mapping;    Best approximation;   

DOI  :  10.1186/1687-1812-2011-25

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We prove a common fixed point theorem for four mappings defined on an ordered metric space and apply it to find new common fixed point results. The existence of common fixed points is established for two or three noncommuting mappings where T is either ordered S-contraction or ordered asymptotically S-nonexpansive on a nonempty ordered starshaped subset of a hyperbolic ordered metric space. As applications, related invariant approximation results are derived. Our results unify, generalize, and complement various known comparable results from the current literature. 2010 Mathematics Subject Classification: 47H09, 47H10, 47H19, 54H25.

【 授权许可】

CC BY