{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:16:19Z","timestamp":1760148979675,"version":"build-2065373602"},"reference-count":12,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2023,6,28]],"date-time":"2023-06-28T00:00:00Z","timestamp":1687910400000},"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>We establish a new fixed point theorem in the setting of convex b-metric spaces that ensures the existence of fixed point for Ciri\u0107 contraction with the assumption k&lt;1s2. Also, the fixed point is approximated by Krasnoselskij iterative procedure. Moreover, we discuss the stability of fixed point for the aforesaid contraction. As a consequence, we develop a common fixed point and coincidence point result. Finally, we provide a number of examples to illustrate the findings presented here and incorporate these findings to solve an initial value problem.<\/jats:p>","DOI":"10.3390\/axioms12070646","type":"journal-article","created":{"date-parts":[[2023,6,29]],"date-time":"2023-06-29T01:43:13Z","timestamp":1688002993000},"page":"646","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Existence, Approximation and Stability of Fixed Point for Ciri\u0107 Contraction in Convex b-Metric Spaces"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6201-012X","authenticated-orcid":false,"family":"Gazal","sequence":"first","affiliation":[{"name":"Department of Engineering and Technology, Gurugram University, Gurugram 122003, Haryana, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1540-007X","authenticated-orcid":false,"given":"Savita","family":"Rathee","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Maharshi Dayanand University, Rohtak 124001, Haryana, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6305-7333","authenticated-orcid":false,"family":"Mahima","sequence":"additional","affiliation":[{"name":"Department of Engineering and Technology, Gurugram University, Gurugram 122003, Haryana, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2437-2944","authenticated-orcid":false,"given":"Anshuka","family":"Kadyan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Maharshi Dayanand University, Rohtak 124001, Haryana, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0005-6121-3530","authenticated-orcid":false,"family":"Minakshi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Sir Chhotu Ram Government College for Women Sampla, Rohtak 124501, Haryana, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7031-7201","authenticated-orcid":false,"given":"Anil","family":"Kumar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Sir Chhotu Ram Government College for Women Sampla, Rohtak 124501, Haryana, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,6,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"133","DOI":"10.4064\/fm-3-1-133-181","article-title":"Sur les operations dans les ensembles abstraits et leur applications aux equations integrales","volume":"3","author":"Banach","year":"1922","journal-title":"Fundam. 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Mathematics, 10.","DOI":"10.3390\/math10030466"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"179","DOI":"10.2989\/16073606.2013.779993","article-title":"On the existence and approximation of fixed points for \u0106iri\u0107 type contractive mappings","volume":"37","author":"Moradi","year":"2014","journal-title":"Quaest. Math."}],"container-title":["Axioms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2075-1680\/12\/7\/646\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T20:03:06Z","timestamp":1760126586000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2075-1680\/12\/7\/646"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,6,28]]},"references-count":12,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2023,7]]}},"alternative-id":["axioms12070646"],"URL":"https:\/\/doi.org\/10.3390\/axioms12070646","relation":{},"ISSN":["2075-1680"],"issn-type":[{"type":"electronic","value":"2075-1680"}],"subject":[],"published":{"date-parts":[[2023,6,28]]}}}