Fixed-point results for fuzzy generalized β-F-contraction mappings in fuzzy metric spaces and their applications

Koon S. Wong; Zabidin Salleh; Che M. I. Che Taib

doi:10.1186/s13663-023-00746-x

Fixed Point Theory and Algorithms for Sciences and Engineering (Jun 2023)

Fixed-point results for fuzzy generalized β-F-contraction mappings in fuzzy metric spaces and their applications

Koon S. Wong,
Zabidin Salleh,
Che M. I. Che Taib

Affiliations

Koon S. Wong: Special Interest Group on Modelling and Data Analytics, Faculty of Ocean Engineering Technology and Informatics, University of Terengganu
Zabidin Salleh: Special Interest Group on Modelling and Data Analytics, Faculty of Ocean Engineering Technology and Informatics, University of Terengganu
Che M. I. Che Taib: Special Interest Group on Modelling and Data Analytics, Faculty of Ocean Engineering Technology and Informatics, University of Terengganu

DOI: https://doi.org/10.1186/s13663-023-00746-x
Journal volume & issue: Vol. 2023, no. 1
pp. 1 – 22

Abstract

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Abstract In this paper, we introduce fuzzy generalized β-F-contractions as a generalization of fuzzy F-contractions with admissible mappings. We deduce sufficient conditions for the existence and uniqueness of fixed points for fuzzy generalized β-F-contractions in complete strong fuzzy metric spaces. Our results generalize several fixed-point results from the literature. We present an application of our main result.

Published in Fixed Point Theory and Algorithms for Sciences and Engineering

ISSN: 2730-5422 (Online)
Publisher: SpringerOpen
Country of publisher: United Kingdom
LCC subjects: Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods; Science: Mathematics: Analysis
Website: https://fixedpointtheoryandapplications.springeropen.com/

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Abstract

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