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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Bibliographic Details
Published in:Fixed point theory and algorithms for sciences and engineering Vol. 2025; no. 1; p. 13
Main Authors: Sezen, Müzeyyen Sangurlu, Duran Türkoğlu, A., Saleh, Hayel Nasr
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 01.12.2025
Springer Nature B.V
Subjects:
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
Online Access:Get full text
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Summary: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.
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ISSN:2730-5422
DOI:10.1186/s13663-025-00793-6