Fixed points of monotone mappings and application to integral equations

Mostafa Bachar, Mohamed Amine Khamsi

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

In this work, we discuss the existence of fixed points of monotone nonexpansive mappings defined on partially ordered Banach spaces. This work is a continuity of the previous works of Ran and Reurings, Nieto et al., and Jachimsky done for contraction mappings. As an application, we discuss the existence of solutions to an integral equations.

Original languageBritish English
Article number110
JournalFixed Point Theory and Applications
Volume2015
Issue number1
DOIs
StatePublished - 23 Dec 2015

Keywords

  • fixed point
  • integral equation
  • Krasnoselskii iteration
  • Lebesgue measure
  • monotone mapping
  • nonexpansive mapping

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