Unique Fixed-Point Results in Fuzzy Metric Spaces with an Application to Fredholm Integral Equations-Reference-Cited by-同舟云学术

Unique Fixed-Point Results in Fuzzy Metric Spaces with an Application to Fredholm Integral Equations

Published:2021-09-21 Issue: Volume:2021 Page:1-12
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Shamas Iqra¹,Rehman Saif Ur¹^ORCID,Aydi Hassen²³⁴^ORCID,Mahmood Tayyab⁵,Ameer Eskandar⁶^ORCID

Affiliation:

1. Department of Mathematics, Gomal University, Dera Ismail Khan 29050, Pakistan

2. Université de Sousse, Institut Supérieur d’Informatique 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, COMSATS University Islamabad, Wah Cantt. 47040, Pakistan

6. Department of Mathematics, Taiz University, Taiz 6803, Yemen

Abstract

This paper aims at proving some unique fixed-point results for different contractive-type self-mappings in fuzzy metric spaces by using the “triangular property of the fuzzy metric”. Some illustrative examples are presented to support our results. Moreover, we present an application by resolving a particular case of a Fredholm integral equation of the second kind.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/4429173.pdf

Reference46 articles.

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