Some new characterizations and results for fuzzy contractions in fuzzy $ b $-metric spaces and applications-Reference-Cited by-同舟云学术

Some new characterizations and results for fuzzy contractions in fuzzy $ b $-metric spaces and applications

Published:2023 Issue:3 Volume:8 Page:6682-6696
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Qawaqneh Haitham¹,Noorani Mohd Salmi Md²,Aydi Hassen³⁴⁵

Affiliation:

1. Department of Mathematics, Faculty of Science and Information Technology, Al-Zaytoonah University of Jordan, Amman 11733, Jordan

2. School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, Malaysia

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

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

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

Abstract

<abstract><p>In this work, we initiate the notion of a fuzzy cyclic $ (\alpha, \beta) $-admissibility to establish some fixed point results for contraction mappings involving a generalized simulation function in the class of fuzzy $ b $-metric spaces. We give some illustrative examples to validate the new concepts and obtained results. At the end, we present an application on a Fredholm integral equation.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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