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

doi:10.3934/math.2023851

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 journal › Article › peer-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 language	English
Pages (from-to)	16633-16654
Number of pages	22
Journal	AIMS Mathematics
Volume	8
Issue number	7
DOIs	https://doi.org/10.3934/math.2023851
Publication status	Published - 2023
Externally published	Yes

Keywords

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

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10.3934/math.2023851

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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.",

keywords = "Geraghty type contractions, Hausdorff fuzzy b-metric space, fuzzy b-metric space, fuzzy metric space",

author = "Rashid Ali and Faisar Mehmood and Aqib Saghir and Hassen Aydi and Saber Mansour and Wajdi Kallel",

note = "Funding Information: The authors would like to thank the Deanship of Scientific Research at Umm Al-Qura University for supporting this work grant code: 22UQU4331214DSR02 Publisher Copyright: {\textcopyright} 2023 the Author(s), licensee AIMS Press.",

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AU - Mehmood, Faisar

AU - Saghir, Aqib

AU - Aydi, Hassen

AU - Mansour, Saber

AU - Kallel, Wajdi

N1 - Funding Information: The authors would like to thank the Deanship of Scientific Research at Umm Al-Qura University for supporting this work grant code: 22UQU4331214DSR02 Publisher Copyright: © 2023 the Author(s), licensee AIMS Press.

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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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KW - Hausdorff fuzzy b-metric space

KW - fuzzy b-metric space

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ER -

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

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