Existence of fuzzy fixed points and common fuzzy fixed points for FG-contractions with applications

Dur-e-Shehwar Sagheer; Zainab Rahman; Samina Batul; Ahmad Aloqaily; Nabil Mlaiki

doi:10.3390/math11183981

Existence of fuzzy fixed points and common fuzzy fixed points for FG-contractions with applications

Dur-e-Shehwar Sagheer, Zainab Rahman, Samina Batul, Ahmad Aloqaily, Nabil Mlaiki

Western Sydney University

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

This article contains results of the existence of fuzzy fixed points of fuzzy mappings that satisfy certain contraction conditions using the platform of partial b-metric spaces. Some non-trivial examples are provided to authenticate the main results. The constructed results in this work will likely stimulate new research directions in fuzzy fixed-point theory and related hybrid models. Eventually, some fixed-point results on multivalued mappings are established. These theorems provide an excellent application of main theorems on fuzzy mappings. The results of this article are extensions of many already existing results in the literature.

Original language	English
Article number	3981
Number of pages	16
Journal	Mathematics
Volume	11
Issue number	18
DOIs	https://doi.org/10.3390/math11183981
Publication status	Published - Sept 2023

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© 2023 by the authors.

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© 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

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abstract = "This article contains results of the existence of fuzzy fixed points of fuzzy mappings that satisfy certain contraction conditions using the platform of partial b-metric spaces. Some non-trivial examples are provided to authenticate the main results. The constructed results in this work will likely stimulate new research directions in fuzzy fixed-point theory and related hybrid models. Eventually, some fixed-point results on multivalued mappings are established. These theorems provide an excellent application of main theorems on fuzzy mappings. The results of this article are extensions of many already existing results in the literature.",

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AU - Mlaiki, Nabil

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AB - This article contains results of the existence of fuzzy fixed points of fuzzy mappings that satisfy certain contraction conditions using the platform of partial b-metric spaces. Some non-trivial examples are provided to authenticate the main results. The constructed results in this work will likely stimulate new research directions in fuzzy fixed-point theory and related hybrid models. Eventually, some fixed-point results on multivalued mappings are established. These theorems provide an excellent application of main theorems on fuzzy mappings. The results of this article are extensions of many already existing results in the literature.

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Existence of fuzzy fixed points and common fuzzy fixed points for FG-contractions with applications

Abstract

Bibliographical note

Open Access - Access Right Statement

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