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 | Abstract: | 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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