On Fuzzy b-Metric-Like Spaces

Author:

Javed Khalil1,Uddin Fahim1,Aydi Hassen23ORCID,Arshad Muhammad4,Ishtiaq Umar1,Alsamir Habes5ORCID

Affiliation:

1. Department of Math & Stats, International Islamic University Islamabad, Pakistan

2. Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia

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

4. Department of Mathematics & Statistics, International Islamic University, H-10, Islamabad 44000, Pakistan

5. College of Business Administration-Finance Department, Dar Al Uloom University Saudi Arabia, Saudi Arabia

Abstract

The aim of this manuscript is to introduce the concept of fuzzy b-metric-like spaces and discuss some related fixed point results. Some examples are imparted to illustrate the feasibility of the proposed methods. Finally, to validate the superiority of the obtained results, an application is provided to solve a first kind of Fredholm type integral equations.

Funder

Deanship of Post Graduate and Scientific Research at Dar Al Uloom University

Publisher

Hindawi Limited

Subject

Analysis

Reference29 articles.

1. Fuzzy sets;L. A. Zadeh;Information and Control,1965

2. Fuzzy metric and statistical metric spaces;I. Kramosil;Kybernetika,1975

3. On some results of analysis for fuzzy metric spaces

4. Coupled fixed point theorem in b-fuzzy metric spaces;T. Došenovic;Novi Sad Journal of Mathematics,2017

5. Common fixed point theorem in b-fuzzy metric space;S. Sedghi;Nonlinear Functional Analysis and Applications,2012

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