On the fixed points of nonexpansive mappings in modular metric spaces

Afrah A.N. Abdou, Mohamed A. Khamsi

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, have been recently introduced. In this paper we investigate the existence of fixed points of modular nonexpansive mappings. We also discuss some compactness properties of the family of admissible sets in modular metric spaces with uniform normal structure property.

Original languageBritish English
Article number229
JournalFixed Point Theory and Applications
Volume2013
DOIs
StatePublished - Aug 2013

Keywords

  • Fixed point
  • Modular function space
  • Modular metric spaces
  • Nonexpansive mapping
  • Orlicz spaces

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