Fixed points of monotone nonexpansive mappings on a hyperbolic metric space with a graph

Monther Rashed Alfuraidan, Mohamed Amine Khamsi

Research output: Contribution to journalArticlepeer-review

44 Scopus citations

Abstract

In this work, we define the concept of G-monotone nonexpansive multivalued mappings defined on a metric space with a graph G. Then we obtain sufficient conditions for the existence of fixed points for such mappings in hyperbolic metric spaces. This is the first kind of such results in this direction.

Original languageBritish English
JournalFixed Point Theory and Applications
Volume2015
Issue number1
DOIs
StatePublished - 1 Dec 2015

Keywords

  • directed graph
  • fixed point
  • hyperbolic metric space
  • multivalued mapping
  • nonexpansive mapping

Fingerprint

Dive into the research topics of 'Fixed points of monotone nonexpansive mappings on a hyperbolic metric space with a graph'. Together they form a unique fingerprint.

Cite this