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

Khalil Javed, Fahim Uddin, Hassen Aydi, Aiman Mukheimer, Muhammad Arshad and Sami Ullah Khan

Journal of Mathematics, 2021, vol. 2021, 1-7

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6663707

DOI: 10.1155/2021/6663707

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