{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:23:47Z","timestamp":1760145827325,"version":"build-2065373602"},"reference-count":45,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2024,8,30]],"date-time":"2024-08-30T00:00:00Z","timestamp":1724976000000},"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>This article aims to adopt some notions for mapping f:Xk\u2192X, (where integer k is positive) and to prove the nonlinear-Pre\u0161i\u0107-type results on metric spaces employing a f-reflexive and locally finitely f-transitive binary relation (not necessarily partial order). The outcomes proven herewith are extended and generalized to several fixed point findings of literature. Lastly, examples are provided to support the applicability of these outcomes.<\/jats:p>","DOI":"10.3390\/sym16091125","type":"journal-article","created":{"date-parts":[[2024,8,30]],"date-time":"2024-08-30T06:46:29Z","timestamp":1725000389000},"page":"1125","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Results for Nonlinear-Pre\u0161i\u0107 Contractions in Relational Metric Spaces"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8734-5516","authenticated-orcid":false,"given":"Faizan Ahmad","family":"Khan","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2723-446X","authenticated-orcid":false,"given":"Kholood","family":"Alnefaie","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, Taibah University, Madinah 42353, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nidal H. 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