Fixed Point Theorems for Monotone Caristi Inward Mappings

Monther Rashed Alfuraidan, Eduardo Daniel Jorquera, Mohamed Amine Khamsi

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

In this paper, we introduce the monotone Caristi inward mappings. As an example, we show that monotone inward contraction mappings are monotone Caristi inward mappings. A general fixed point theorem for such mappings is given. A mutlivalued version of these results is also introduced.

Original languageBritish English
Pages (from-to)1092-1101
Number of pages10
JournalNumerical Functional Analysis and Optimization
Volume39
Issue number10
DOIs
StatePublished - 27 Jul 2018

Keywords

  • Caristi
  • contraction mapping
  • fixed point
  • inward mapping
  • monotone mapping
  • multivalued mapping
  • partially ordered metric space

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