Fixed point results of pointwise contractions in modular metric spaces

Afrah A.N. Abdou, Mohamed A. Khamsi

Research output: Contribution to journalArticlepeer-review

27 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, were recently introduced. In this paper we investigate the existence of fixed points of modular contractive mappings in modular metric spaces. These are related to the successive approximations of fixed points (via orbits) which converge to the fixed points in the modular sense, which is weaker than the metric convergence.

Original languageBritish English
Article number163
JournalFixed Point Theory and Applications
Volume2013
DOIs
StatePublished - Jun 2013

Keywords

  • Fixed point
  • Modular function space
  • Modular metric spaces
  • Orlicz spaces
  • Pointwise contraction mapping

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