Common fixed point and invariant approximation in hyperbolic ordered metric spaces

Mujahid Abbas, Mohamed Amine Khamsi, Abdul Rahim Khan

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

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.

Original languageBritish English
Article number25
JournalFixed Point Theory and Applications
Volume2011
DOIs
StatePublished - Aug 2011

Keywords

  • Best approximation
  • Common fixed point
  • Hyperbolic metric space
  • Ordered asymptotically S-nonexpansive mapping

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