Research article

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

  • Received: 09 March 2023 Revised: 24 April 2023 Accepted: 27 April 2023 Published: 11 May 2023
  • MSC : 47H10, 54H25

  • 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.

    Citation: Rashid Ali, Faisar Mehmood, Aqib Saghir, Hassen Aydi, Saber Mansour, Wajdi Kallel. Solution of integral equations for multivalued maps in fuzzy $ b $-metric spaces using Geraghty type contractions[J]. AIMS Mathematics, 2023, 8(7): 16633-16654. doi: 10.3934/math.2023851

    Related Papers:

  • 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.



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