{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T17:09:07Z","timestamp":1772298547425,"version":"3.50.1"},"reference-count":18,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2025,1,8]],"date-time":"2025-01-08T00:00:00Z","timestamp":1736294400000},"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>The primary objective of this research is to investigate the notion of elliptic-valued metric spaces and prove new fixed-point theorems for diverse generalized contractions. Our contributions extend several existing results in the field. To underscore the novelty of our main result, we provide a concrete example. Additionally, we showcase the practical relevance of our primary theorem by solving a Urysohn integral equation.<\/jats:p>","DOI":"10.3390\/axioms14010046","type":"journal-article","created":{"date-parts":[[2025,1,8]],"date-time":"2025-01-08T07:40:13Z","timestamp":1736322013000},"page":"46","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Fixed-Point Results in Elliptic-Valued Metric Spaces with Applications"],"prefix":"10.3390","volume":"14","author":[{"given":"Badriah","family":"Alamri","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, College of Science, University of Jeddah, Jeddah 23218, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2025,1,8]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1080\/0025570X.2004.11953236","article-title":"Geometry of generalized complex numbers","volume":"77","author":"Harkin","year":"2004","journal-title":"Math. Mag."},{"key":"ref_2","unstructured":"Tucker, R. (1968). Mathematical Papers, Chelsea Pub. Co."},{"key":"ref_3","unstructured":"Study, E. (1903). Geometrie der Dynamen, B. G. Teubner."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF03018603","article-title":"Sur quelques points du calcul fonctionnel","volume":"22","author":"Frechet","year":"1906","journal-title":"Rend. Circ. Mat. Palermo"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1080\/01630563.2011.533046","article-title":"Common fixed point theorems in complex valued metric spaces","volume":"32","author":"Azam","year":"2011","journal-title":"Num. Funct. Anal. Optimiz."},{"key":"ref_6","first-page":"258985","article-title":"Fixed point theorems in quaternion-valued metric spaces","volume":"2014","author":"Ahmed","year":"2014","journal-title":"Abstr. Appl. 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