Fixed-point results connected to fuzzy F-contraction and simulation functions with application

In this paper, we establish a novel type of fuzzy contraction principle through the concepts of fuzzy F -contractions and fuzzy simulation functions and we prove the existence and uniqueness of a fixed point for a self-mapping in complete fuzzy metric spaces by the newly developed contraction. The u...

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Published inFixed point theory and algorithms for sciences and engineering Vol. 2025; no. 1; pp. 14 - 15
Main Authors Moussaoui, Abdelhamid, Ibrahim Abdou Amir, Fouad, Elomari, Mhamed
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 07.07.2025
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Differential Geometry
F-contraction
Fixed-point theory
Fractional calculus
Fuzzy contraction
Fuzzy metric space
Fuzzy sets
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Metric Fixed Point Theory and Its Applications
Metric space
Simulation
Simulation function
Topology
Fixed-point theory
Fuzzy contraction
47H10
F-contraction
Fuzzy metric space
Simulation function
54H25
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ISSN2730-5422
2730-5422
DOI10.1186/s13663-025-00794-5

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Summary:In this paper, we establish a novel type of fuzzy contraction principle through the concepts of fuzzy F -contractions and fuzzy simulation functions and we prove the existence and uniqueness of a fixed point for a self-mapping in complete fuzzy metric spaces by the newly developed contraction. The utility of our findings is further demonstrated by an example, an application to fractional calculus, and some illustrated remarks. The results presented unify, generalize, and enhance a variety of existing research findings in the literature.
Bibliography:ObjectType-Article-1
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ISSN:2730-5422
2730-5422
DOI:10.1186/s13663-025-00794-5