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

Iqra Shamas; Saif Ur Rehman; Hassen Aydi; Tayyab Mahmood; Eskandar Ameer

doi:10.1155/2021/4429173

Journal of Function Spaces (Jan 2021)

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

Iqra Shamas,
Saif Ur Rehman,
Hassen Aydi,
Tayyab Mahmood,
Eskandar Ameer

Affiliations

Iqra Shamas: Department of Mathematics, Gomal University, Dera Ismail Khan 29050, Pakistan
Saif Ur Rehman: Department of Mathematics, Gomal University, Dera Ismail Khan 29050, Pakistan
Hassen Aydi: Université de Sousse, Institut Supérieur d’Informatique et Des Techniques de Communication, H. Sousse 4000, Tunisia
Tayyab Mahmood: Department of Mathematics, COMSATS University Islamabad, Wah Cantt. 47040, Pakistan
Eskandar Ameer: Department of Mathematics, Taiz University, Taiz 6803, Yemen

DOI: https://doi.org/10.1155/2021/4429173
Journal volume & issue: Vol. 2021

Abstract

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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.

Published in Journal of Function Spaces

ISSN: 2314-8896 (Print); 2314-8888 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/9303

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