Fixed-Point Results for (α-ψ)-Fuzzy Contractive Mappings on Fuzzy Double-Controlled Metric Spaces-Reference-Cited by-同舟云学术

Fixed-Point Results for (α-ψ)-Fuzzy Contractive Mappings on Fuzzy Double-Controlled Metric Spaces

Published:2023-03-13 Issue:3 Volume:15 Page:716
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Azmi Fatima M.¹^ORCID

Affiliation:

1. Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia

Abstract

We introduce the novel concept of (α-ψ)-fuzzy contractive mappings on fuzzy double-controlled metric spaces and demonstrate some fixed-point results. The theorems presented generalize some intriguing findings in the literature. Thus, we prove the fixed-point theorem in the settings of fuzzy double-controlled metric spaces. Furthermore, we provide several examples and an application of our result on the existence of the solution to an integral equation.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/3/716/pdf

Reference29 articles.

1. Sur les operations dans les ensembles et leur application aux equation sitegrales;Banach;Fundam. Math.,1922

2. The contraction mapping principle in almost metric spaces;Bakhtin;Funct. Anal. Gos. Ped. Inst. Unianowsk,1989

3. Kamran, T., Samreen, M., and UL Ain, Q. (2017). A Generalization of b-metric space and some fixed point theorems. Mathematics, 5.

4. Mlaiki, N., Aydi, H., Souayah, N., and Abdeljawad, T. (2018). controlled Metric Type Spaces and the Related Contraction Principle. Mathematics, 6.

5. Abdeljawad, T., Mlaiki, N., Aydi, H., and Souayah, N. (2018). Double controlled metric type spaces and some fixed point results. Mathematics, 6.

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