{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,29]],"date-time":"2026-01-29T05:45:17Z","timestamp":1769665517393,"version":"3.49.0"},"reference-count":7,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2026,1,28]],"date-time":"2026-01-28T00:00:00Z","timestamp":1769558400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Umm Al-Qura University, Saudi Arabia","award":["26UQU4270201GSSR01"],"award-info":[{"award-number":["26UQU4270201GSSR01"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>We introduce a new hybrid contraction condition in the setting of G-metric spaces that unifies Banach-, Kannan-, and Chatterjea-type contractions applied to an iterate Tp of a self-map T. Under a natural coefficient constraint, we prove that such a map admits a unique fixed point in a complete G-metric space. An illustrative example is provided to demonstrate the applicability of the result beyond classical contractions.<\/jats:p>","DOI":"10.3390\/axioms15020094","type":"journal-article","created":{"date-parts":[[2026,1,28]],"date-time":"2026-01-28T17:40:22Z","timestamp":1769622022000},"page":"94","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Novel Generalized Contraction in G-Metric Spaces and Its Fixed Point Theorem"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1645-2071","authenticated-orcid":false,"given":"Nicola","family":"Fabiano","sequence":"first","affiliation":[{"name":"\u201cVin\u010da\u201d Institute of Nuclear Sciences-National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovi\u0107a Alasa 12-14, 11351 Belgrade, Serbia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2430-6499","authenticated-orcid":false,"given":"Zouaoui","family":"Bekri","sequence":"additional","affiliation":[{"name":"Laboratory of Fundamental and Applied Mathematics, University of Oran 1, Ahmed Ben Bella, Es-Senia 31000, Algeria"},{"name":"Department of Sciences and Technology, Institute of Sciences, Nour-Bachir University Center, El-Bayadh 32000, Algeria"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6652-5868","authenticated-orcid":false,"given":"Amir","family":"Baklouti","sequence":"additional","affiliation":[{"name":"Department of Mathematics, IPEIS, Sfax University, Road of Menzel Chaker Km 0.5, Sfax 3000, Tunisia"}]},{"given":"Abdullah","family":"Assiry","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, Umm Al-Qura University, Mecca 21955, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2026,1,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"133","DOI":"10.4064\/fm-3-1-133-181","article-title":"Sur les op\u00e9rations dans les ensembles abstraits et leur application aux \u00e9quations int\u00e9grales","volume":"3","author":"Banach","year":"1922","journal-title":"Fundam. Math."},{"key":"ref_2","first-page":"71","article-title":"Some results on fixed points","volume":"60","author":"Kannan","year":"1968","journal-title":"Bull. Calcutta Math. Soc."},{"key":"ref_3","first-page":"727","article-title":"Fixed-point theorems","volume":"25","author":"Chatterjea","year":"1972","journal-title":"Comptes Rendus L\u2019Acad\u00e9Mie Bulg. Des Sci."},{"key":"ref_4","first-page":"289","article-title":"A new approach to generalized metric spaces","volume":"7","author":"Mustafa","year":"2006","journal-title":"J. Nonlinear Convex Anal."},{"key":"ref_5","first-page":"61","article-title":"Some results on fixed points theorems","volume":"17","author":"Singh","year":"1969","journal-title":"Yokohama Math. J."},{"key":"ref_6","first-page":"896","article-title":"On fixed points of Kannan mappings","volume":"8","author":"Singh","year":"1977","journal-title":"Indian J. Pure Appl. Math."},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Bekri, Z., Fabiano, N., Alomair, M.A., and Alsharidi, A.K. (2025). Reformulation of Fixed Point Existence: From Banach to Kannan and Chatterjea Contractions. Axioms, 14.","DOI":"10.3390\/axioms14100717"}],"container-title":["Axioms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2075-1680\/15\/2\/94\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,1,28]],"date-time":"2026-01-28T17:46:37Z","timestamp":1769622397000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2075-1680\/15\/2\/94"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,1,28]]},"references-count":7,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2026,2]]}},"alternative-id":["axioms15020094"],"URL":"https:\/\/doi.org\/10.3390\/axioms15020094","relation":{},"ISSN":["2075-1680"],"issn-type":[{"value":"2075-1680","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,1,28]]}}}