Authors: Patel, Uma Devi
Todorčević, Vesna 
Radojevic, Slobodan
Radenović, Stojan
Affiliations: Mathematics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Best Proximity Point for ГτF-Fuzzy Proximal Contraction
Journal: Axioms
Volume: 12
Issue: 2
First page: 165
Issue Date: 2023
Rank: ~M21
ISSN: 2075-1680
DOI: 10.3390/axioms12020165
In this writing, first, we disclose the first and second category of a (Formula presented.) -fuzzy proximal contraction for a mapping (Formula presented.) which is nonself and also declare a fuzzy q-property to confirm the existence of the best proximity point for nonself function (Formula presented.). Then, we discover a few results using the (Formula presented.) -fuzzy proximal contraction of the first category for a continuous and discontinuous nonself function (Formula presented.) in a non-Archimedean fuzzy metric space. Later, we discuss another result for the (Formula presented.) -fuzzy proximal contraction of the second category as well. In between the fuzzy proximal theorems, many examples are presented in support of the definitions and theorems proved in this writing.
Keywords: fuzzy p- and q-properties | non-Archimedean fuzzy metric space | Γτℱ-fuzzy proximal contraction
Publisher: MDPI

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