{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,13]],"date-time":"2026-07-13T21:49:40Z","timestamp":1783979380438,"version":"3.55.0"},"reference-count":28,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2019,12,21]],"date-time":"2019-12-21T00:00:00Z","timestamp":1576886400000},"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 manuscript, we introduce a new notion, admissible hybrid    Z   -contraction that unifies several nonlinear and linear contractions in the set-up of a b-metric space. In our main theorem, we discuss the existence and uniqueness result of such mappings in the context of complete b-metric space. The given result not only unifies the several existing results in the literature, but also extends and improves them. We express some consequences of our main theorem by using variant examples of simulation functions. As applications, the well-posedness and the Ulam\u2013Hyers stability of the fixed point problem are also studied.<\/jats:p>","DOI":"10.3390\/axioms9010002","type":"journal-article","created":{"date-parts":[[2019,12,23]],"date-time":"2019-12-23T03:15:01Z","timestamp":1577070901000},"page":"2","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":22,"title":["Admissible Hybrid Z-Contractions in b-Metric Spaces"],"prefix":"10.3390","volume":"9","author":[{"given":"Ioan Cristian","family":"Chifu","sequence":"first","affiliation":[{"name":"Department of Business, Babe\u015f-Bolyai University Cluj-Napoca, Horea Street, No.7, 400000 Cluj-Napoca, Romania"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6798-3254","authenticated-orcid":false,"given":"Erdal","family":"Karap\u0131nar","sequence":"additional","affiliation":[{"name":"Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2019,12,21]]},"reference":[{"key":"ref_1","unstructured":"Bourbaki, N. 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