Some new characterizations and results for fuzzy contractions in fuzzy b-metric spaces and applications

Haitham Qawaqneh; Mohd Salmi Md Noorani; Hassen Aydi

doi:10.3934/math.2023338

Some new characterizations and results for fuzzy contractions in fuzzy b-metric spaces and applications

Haitham Qawaqneh
, Mohd Salmi Md Noorani
, Hassen Aydi^*

^*Corresponding author for this work

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

27 Citations (Scopus)

Abstract

In this work, we initiate the notion of a fuzzy cyclic (α, β)-admissibility to establish some fixed point results for contraction mappings involving a generalized simulation function in the class of fuzzy b-metric spaces. We give some illustrative examples to validate the new concepts and obtained results. At the end, we present an application on a Fredholm integral equation.

Original language	English
Pages (from-to)	6682-6696
Number of pages	15
Journal	AIMS Mathematics
Volume	8
Issue number	3
DOIs	https://doi.org/10.3934/math.2023338
Publication status	Published - 2023
Externally published	Yes

Keywords

fixed point
fuzzy b-metric space
integral equation
simulation function

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10.3934/math.2023338

Cite this

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abstract = "In this work, we initiate the notion of a fuzzy cyclic (α, β)-admissibility to establish some fixed point results for contraction mappings involving a generalized simulation function in the class of fuzzy b-metric spaces. We give some illustrative examples to validate the new concepts and obtained results. At the end, we present an application on a Fredholm integral equation.",

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AU - Aydi, Hassen

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AB - In this work, we initiate the notion of a fuzzy cyclic (α, β)-admissibility to establish some fixed point results for contraction mappings involving a generalized simulation function in the class of fuzzy b-metric spaces. We give some illustrative examples to validate the new concepts and obtained results. At the end, we present an application on a Fredholm integral equation.

KW - fixed point

KW - fuzzy b-metric space

KW - integral equation

KW - simulation function

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DO - 10.3934/math.2023338

M3 - Article

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Some new characterizations and results for fuzzy contractions in fuzzy b-metric spaces and applications

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Keywords

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