Common fixed point and invariant approximation in hyperbolic ordered metric spaces

被引：0
|
作者：
Abbas M. [1 ]
Khamsi M.A. [2 ,3 ]
Khan A.R. [3 ]
机构：
[1] Department of Mathematics, Lahore University of Management Sciences
[2] Department of Mathematical Sciences, University of Texas at El Paso, El Paso
[3] Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals
来源：
Fixed Point Theory and Applications | / 2011卷 / 1期
关键词：
Best approximation; Common fixed point; Hyperbolic metric space; Ordered asymptotically S-nonexpansive mapping;
D O I：
10.1186/1687-1812-2011-25
中图分类号：
学科分类号：
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. © 2011 Abbas et al; licensee Springer.
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