Best proximity point theorems for interpolative Kannan-type and Ćirić–Reich–Rus-type L-proximal contractions

In this paper, we introduce several different types of interpolative proximal contractions in complete fuzzy metric spaces. We establish some best proximity point results for Kannan-type and Ćirić–Reich–Rus-type L -proximal contractions in complete fuzzy metric spaces. The obtained results can be ap...

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Vydáno v:Fixed point theory and algorithms for sciences and engineering Ročník 2025; číslo 1; s. 13
Hlavní autoři: Sezen, Müzeyyen Sangurlu, Duran Türkoğlu, A., Saleh, Hayel Nasr
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cham Springer International Publishing 01.12.2025
Springer Nature B.V
Témata:
Analysis
Applications of Mathematics
Differential Geometry
Fuzzy sets
Inequality
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Metric Fixed Point Theory and Its Applications
Metric space
Theorems
Topology
Uniqueness
Interpolative contraction
47H10
Best proximity point
Fuzzy metric
Fixed point
54H25
ISSN:2730-5422
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Shrnutí:In this paper, we introduce several different types of interpolative proximal contractions in complete fuzzy metric spaces. We establish some best proximity point results for Kannan-type and Ćirić–Reich–Rus-type L -proximal contractions in complete fuzzy metric spaces. The obtained results can be applied to the solution of entity uniqueness problems, which arise in many fields, especially in the applied field. As an application, we present the existence of solutions of entity uniqueness problems.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:2730-5422
DOI:10.1186/s13663-025-00793-6