On Some Fixed Point Results in E − Fuzzy Metric Spaces-Reference-Cited by-同舟云学术

On Some Fixed Point Results in E − Fuzzy Metric Spaces

Published:2021-09-17 Issue: Volume:2021 Page:1-6
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Mecheraoui Rachid¹,Mitrović Zoran D.²,Parvaneh Vahid³^ORCID,Aydi Hassen⁴⁵⁶^ORCID,Saleem Naeem⁷^ORCID

Affiliation:

1. Department of Mathematics and Informatics, Abbes Laghror University, Khenchela 40000, Algeria

2. University of Banja Luka, Faculty of Electrical Engineering, Patre 5, Banja Luka 78000, Bosnia and Herzegovina

3. Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran

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

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

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

7. Department of Mathematics (SSC), University of Management and Technology, C-II, Johar Town, Lahore, Pakistan

Abstract

In the existing literature, Banach contraction theorem as well as Meir-Keeler fixed point theorem were extended to fuzzy metric spaces. However, the existing extensions require strong additional assumptions. The purpose of this paper is to determine a class of fuzzy metric spaces in which both theorems remain true without the need of any additional condition. We demonstrate the wide validity of the new class.

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2021/9196642.pdf

Reference17 articles.

1. Fuzzy pseudo-metric spaces

2. Metric spaces in fuzzy set theory

3. On fuzzy metric spaces

4. On some results in fuzzy metric spaces

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

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Fixed Point Results in Fuzzy Strong Controlled Metric Spaces with an Application to the Domain Words;Advances in Mathematical Physics;2023-08-14

2. A fixed point theorem in strictly convex $ b $-fuzzy metric spaces;AIMS Mathematics;2023

3. On Graphical Fuzzy Metric Spaces with Application to Fractional Differential Equations;Fractal and Fractional;2022-04-25

4. Extended rectangular fuzzy b-metric space with application;AIMS MATH;2022