Solution of integral equations for multivalued maps in fuzzy b-metric spaces using Geraghty type contractions

Rashid Ali, Faisar Mehmood, Aqib Saghir, Hassen Aydi*, Saber Mansour, Wajdi Kallel

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this article, the notion of Hausdorff fuzzy b-metric space is studied. Some fixed point results for multivalued mappings using Geraghty type contractions in G-complete fuzzy b-metric spaces are established. To strengthen the results, an illustrative example is furnished. A fuzzy integral inclusion is constructed as an application of fixed point result which shows the validity of the proved results. The presented outcomes are the generalization of the existing results in literature.

Original languageEnglish
Pages (from-to)16633-16654
Number of pages22
JournalAIMS Mathematics
Volume8
Issue number7
DOIs
Publication statusPublished - 2023
Externally publishedYes

Keywords

  • Geraghty type contractions
  • Hausdorff fuzzy b-metric space
  • fuzzy b-metric space
  • fuzzy metric space

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