Multivalued contraction maps on fuzzy b-metric spaces and an application

Samina Batul; Faisar Mehmood; Azhar Hussain; Dur E.Shehwar Sagheer; Hassen Aydi; Aiman Mukheimer

doi:10.3934/math.2022330

Multivalued contraction maps on fuzzy b-metric spaces and an application

Samina Batul, Faisar Mehmood, Azhar Hussain, Dur E.Shehwar Sagheer, Hassen Aydi^*, Aiman Mukheimer

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

In this article, the concept of a Hausdorff fuzzy b-metric space is introduced. The new notion is used to establish some fixed point results for multivalued mappings in G-complete fuzzy b-metric spaces satisfying a suitable requirement of contractiveness. An illustrative example is formulated to support the results. Eventually, an application for the existence of a solution for an integral inclusion is established which involves showing the materiality of the obtained results. These results are more general and some theorems proved by of Shehzad et al. are their special cases.

Original language	English
Pages (from-to)	5925-5942
Number of pages	18
Journal	AIMS Mathematics
Volume	7
Issue number	4
DOIs	https://doi.org/10.3934/math.2022330
Publication status	Published - 2022
Externally published	Yes

Keywords

Fixed point
Fuzzy b-metric space
Hausdorff fuzzy b-metric space
Multivalued mapping

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10.3934/math.2022330

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abstract = "In this article, the concept of a Hausdorff fuzzy b-metric space is introduced. The new notion is used to establish some fixed point results for multivalued mappings in G-complete fuzzy b-metric spaces satisfying a suitable requirement of contractiveness. An illustrative example is formulated to support the results. Eventually, an application for the existence of a solution for an integral inclusion is established which involves showing the materiality of the obtained results. These results are more general and some theorems proved by of Shehzad et al. are their special cases.",

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AU - Batul, Samina

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AU - Hussain, Azhar

AU - Sagheer, Dur E.Shehwar

AU - Aydi, Hassen

AU - Mukheimer, Aiman

PY - 2022

Y1 - 2022

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AB - In this article, the concept of a Hausdorff fuzzy b-metric space is introduced. The new notion is used to establish some fixed point results for multivalued mappings in G-complete fuzzy b-metric spaces satisfying a suitable requirement of contractiveness. An illustrative example is formulated to support the results. Eventually, an application for the existence of a solution for an integral inclusion is established which involves showing the materiality of the obtained results. These results are more general and some theorems proved by of Shehzad et al. are their special cases.

KW - Fixed point

KW - Fuzzy b-metric space

KW - Hausdorff fuzzy b-metric space

KW - Multivalued mapping

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IS - 4

ER -

Multivalued contraction maps on fuzzy b-metric spaces and an application

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Keywords

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