Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application-Reference-Cited by-同舟云学术

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

Published:2021-02-11 Issue: Volume:2021 Page:1-7
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Javed Khalil¹,Uddin Fahim¹,Aydi Hassen²³⁴^ORCID,Mukheimer Aiman⁵,Arshad Muhammad¹

Affiliation:

1. Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan

2. Université de Sousse, Institut Supérieur dínformatique et des Techniques de Communication, H. Sousse 4000, Tunisia

3. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

4. China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

5. Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia

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.

Funder

Prince Sultan University

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2021/6663707.pdf

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