Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application

Khalil Javed; Fahim Uddin; Hassen Aydi; Aiman Mukheimer; Muhammad Arshad

doi:10.1155/2021/6663707

Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application

Khalil Javed, Fahim Uddin, Hassen Aydi^*, Aiman Mukheimer, Muhammad Arshad

^*Corresponding author for this work

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

30 Citations (Scopus)

Abstract

The aim of this manuscript is to initiate the study of the Banach contraction in R-fuzzy b-metric spaces and discuss some related fixed point results to ensure the existence and uniqueness of a fixed point. A nontrivial example is imparted to illustrate the feasibility of the proposed methods. Finally, to validate the superiority of the provided results, an application is presented to solve the first kind of a Fredholm-type integral equation.

Original language	English
Article number	6663707
Journal	Journal of Mathematics
Volume	2021
DOIs	https://doi.org/10.1155/2021/6663707
Publication status	Published - 2021
Externally published	Yes

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AU - Arshad, Muhammad

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AB - The aim of this manuscript is to initiate the study of the Banach contraction in R-fuzzy b-metric spaces and discuss some related fixed point results to ensure the existence and uniqueness of a fixed point. A nontrivial example is imparted to illustrate the feasibility of the proposed methods. Finally, to validate the superiority of the provided results, an application is presented to solve the first kind of a Fredholm-type integral equation.

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Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application

Abstract

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