{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:51:11Z","timestamp":1760147471450,"version":"build-2065373602"},"reference-count":24,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2023,2,6]],"date-time":"2023-02-06T00:00:00Z","timestamp":1675641600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this writing, first, we disclose the first and second category of a \u0393\u03c4F-fuzzy proximal contraction for a mapping O:U\u2192V which is nonself and also declare a fuzzy q-property to confirm the existence of the best proximity point for nonself function O. Then, we discover a few results using the \u0393\u03c4F-fuzzy proximal contraction of the first category for a continuous and discontinuous nonself function O in a non-Archimedean fuzzy metric space. Later, we discuss another result for the \u0393\u03c4F-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.<\/jats:p>","DOI":"10.3390\/axioms12020165","type":"journal-article","created":{"date-parts":[[2023,2,7]],"date-time":"2023-02-07T01:35:17Z","timestamp":1675733717000},"page":"165","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Best Proximity Point for \u0393\u03c4F-Fuzzy Proximal Contraction"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2853-5501","authenticated-orcid":false,"given":"Uma Devi","family":"Patel","sequence":"first","affiliation":[{"name":"Department of Mathematics, Guru Ghasidas Vishwavidyalaya, Koni, Bilaspur 495009, Chhattisgarh, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vesna","family":"Todorcevic","sequence":"additional","affiliation":[{"name":"Faculty of Organizational Sciences, University of Belgrade, 11120 Belgrade, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1845-4441","authenticated-orcid":false,"given":"Slobodan","family":"Radojevic","sequence":"additional","affiliation":[{"name":"Faculty of Mechanical Engineering, University of Belgrade, 11120 Belgrade, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Stojan","family":"Radenovi\u0107","sequence":"additional","affiliation":[{"name":"Faculty of Mechanical Engineering, University of Belgrade, 11120 Belgrade, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,2,6]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"234","DOI":"10.1007\/BF01110225","article-title":"Extensions of the two fixed point theorems of F. 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