Solution of integral equations for multivalued maps in fuzzy $ b $-metric spaces using Geraghty type contractions-Reference-Cited by-同舟云学术

Solution of integral equations for multivalued maps in fuzzy $ b $-metric spaces using Geraghty type contractions

Published:2023 Issue:7 Volume:8 Page:16633-16654
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Ali Rashid¹,Mehmood Faisar¹,Saghir Aqib¹,Aydi Hassen²³⁴,Mansour Saber⁵,Kallel Wajdi⁵

Affiliation:

1. Department of Mathematics, Capital University of Science and Technology, Islamabad, Pakistan, Email: rashid.ali@cust.edu.pk

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

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

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

5. Department of Mathematics, Umm Al-Qura University, Faculty of Applied sciences, P.O. Box 14035, Holly Makkah 21955, Saudi Arabia, Email: samansour@uqu.edu.sa, wfkallel@uqu.edu.sa

Abstract

<abstract><p>In this article, the notion of Hausdorff fuzzy $ b $-metric space is studied. Some fixed point results for multivalued mappings using Geraghty type contractions in $ G $-complete fuzzy $ b $-metric spaces are established. To strengthen the results, an illustrative example is furnished. A fuzzy integral inclusion is constructed as an application of fixed point result which shows the validity of the proved results. The presented outcomes are the generalization of the existing results in literature.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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