Some Fixed Point Theorems for α-Admissible Mappings in Complex-Valued Fuzzy Metric Spaces

This paper discusses some properties of complex-valued fuzzy metric spaces and introduces the α-admissible mappings in the setting of complex-valued fuzzy metric spaces. We establish fixed point theorems for mappings satisfying symmetric contractive conditions with control functions. The results of...

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Bibliographic Details
Published in:Symmetry (Basel) 2023-09, Vol.15 (9), p.1797
Main Authors: Shukla, Satish, Rai, Shweta, Shukla, Rahul
Format: Article
Language:English
Subjects:
complex-valued fuzzy metric space
fixed point
Fixed points (mathematics)
Fuzzy sets
Metric space
Norms
Number systems
Theorems
α-(ψ,ϕ)-contraction
α-admissible mapping
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Summary:This paper discusses some properties of complex-valued fuzzy metric spaces and introduces the α-admissible mappings in the setting of complex-valued fuzzy metric spaces. We establish fixed point theorems for mappings satisfying symmetric contractive conditions with control functions. The results of this paper generalize, extend, and improve several results from metric, fuzzy metric, and complex-valued fuzzy metric spaces. Several examples are presented that verify and illustrate the new concepts, claims, and results.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym15091797