{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,14]],"date-time":"2026-03-14T20:10:31Z","timestamp":1773519031163,"version":"3.50.1"},"reference-count":21,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2023,7,28]],"date-time":"2023-07-28T00:00:00Z","timestamp":1690502400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The symmetry of fuzzy metric spaces has benefits for flexibility, ambiguity tolerance, resilience, compatibility, and applicability. They provide a more comprehensive description of similarity and offer a solid framework for working with ambiguous and imprecise data. We give fuzzy versions of some celebrated iterative mappings. Further, we provide different concrete conditions on the real valued functions J,S:(0,1]\u2192R for the existence of the best proximity point of generalized fuzzy (J,S)-iterative mappings in the setting of fuzzy metric space. Furthermore, we utilize fuzzy versions of J,S-proximal contraction, J,S-interpolative Reich\u2013Rus\u2013Ciric-type proximal contractions, J,S-Kannan type proximal contraction and J,S-interpolative Hardy Roger\u2019s type proximal contraction to examine the common best proximity points in fuzzy metric space. Also, we establish several non-trivial examples and an application to support our results.<\/jats:p>","DOI":"10.3390\/sym15081501","type":"journal-article","created":{"date-parts":[[2023,7,28]],"date-time":"2023-07-28T07:35:24Z","timestamp":1690529724000},"page":"1501","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Generalized Common Best Proximity Point Results in Fuzzy Metric Spaces with Application"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5228-1073","authenticated-orcid":false,"given":"Umar","family":"Ishtiaq","sequence":"first","affiliation":[{"name":"Office of Research, Innovation and Commercialization, University of Management and Technology, Lahore 54770, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fahad","family":"Jahangeer","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad 44000, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1213-5549","authenticated-orcid":false,"given":"Doha A.","family":"Kattan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Sciences and Arts, King Abdulaziz University, Rabigh 21589, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ioannis K.","family":"Argyros","sequence":"additional","affiliation":[{"name":"Department of Computing and Mathematical Sciences, Cameron University, Lawton, OK 73505, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,7,28]]},"reference":[{"key":"ref_1","first-page":"71","article-title":"Some results on fixed points","volume":"60","author":"Kannan","year":"1968","journal-title":"Bull. Calcutta Math. Soc."},{"key":"ref_2","first-page":"611","article-title":"Interpolative Kannan-Meir-Keeler type contraction","volume":"5","author":"Karapinar","year":"2021","journal-title":"Adv. Theory Nonlinear Anal. Appl."},{"key":"ref_3","first-page":"9587604","article-title":"New results on Perov-interpolative contractions of Suzuki type mappings","volume":"2021","author":"Fulga","year":"2021","journal-title":"J. Funct. Spaces"},{"key":"ref_4","first-page":"137","article-title":"Interpolative Rus-Reich-\u0106iri\u0107 type contractions via simulation functions. Analele \u015ftiin\u0163ifice ale Universit\u0103\u0163ii \u201cOvidius\" Constan\u0163a","volume":"27","author":"Agarwal","year":"2019","journal-title":"Ser. Mat."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Karap\u0131nar, E., Alqahtani, O., and Aydi, H. (2018). On interpolative Hardy-Rogers type contractions. Symmetry, 11.","DOI":"10.3390\/sym11010008"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1007\/s10474-020-01036-3","article-title":"Best proximity point results for p-proximal contractions","volume":"162","author":"Altun","year":"2020","journal-title":"Acta Math. Hung."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"1233","DOI":"10.2989\/16073606.2020.1785576","article-title":"On best proximity points of interpolative proximal contractions","volume":"44","author":"Altun","year":"2021","journal-title":"Quaest. Math."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1007\/s10957-010-9745-7","article-title":"Common best proximity points: Global optimal solutions","volume":"148","author":"Shahzad","year":"2011","journal-title":"J. Optim. 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Math."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/15\/8\/1501\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T20:21:30Z","timestamp":1760127690000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/15\/8\/1501"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,7,28]]},"references-count":21,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2023,8]]}},"alternative-id":["sym15081501"],"URL":"https:\/\/doi.org\/10.3390\/sym15081501","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,7,28]]}}}