{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,30]],"date-time":"2026-03-30T17:04:10Z","timestamp":1774890250296,"version":"3.50.1"},"reference-count":23,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2021,4,19]],"date-time":"2021-04-19T00:00:00Z","timestamp":1618790400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"the Natural Science Foundation of Chongqing of China; the Initial Funding of Scientific Research for High-level Talents of Chongqing Three Gorges University of China","award":["cstc2020jcyj-msxmX0762; 2104\/09926601"],"award-info":[{"award-number":["cstc2020jcyj-msxmX0762; 2104\/09926601"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper, we introduce a notion of convex F-contraction and establish some fixed point results for such contractions in b-metric spaces. Moreover, we give a supportive example to show that our convex F-contraction is quite different from the F-contraction used in the existing literature since our convex F-contraction does not necessarily contain the continuous mapping but the F-contraction contains such mapping. In addition, via some facts, we claim that our results indeed generalize and improve some previous results in the literature.<\/jats:p>","DOI":"10.3390\/axioms10020071","type":"journal-article","created":{"date-parts":[[2021,4,19]],"date-time":"2021-04-19T11:21:38Z","timestamp":1618831298000},"page":"71","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["On Convex F-Contraction in b-Metric Spaces"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1836-2873","authenticated-orcid":false,"given":"Huaping","family":"Huang","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou 404020, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9993-9082","authenticated-orcid":false,"given":"Zoran D.","family":"Mitrovi\u0107","sequence":"additional","affiliation":[{"name":"Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8269-4661","authenticated-orcid":false,"given":"Kastriot","family":"Zoto","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Sciences, Faculty of Natural Sciences, University of Gjirokastra, 6001 Gjirokastra, Albania"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8254-6688","authenticated-orcid":false,"given":"Stojan","family":"Radenovi\u0107","sequence":"additional","affiliation":[{"name":"Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia"}]}],"member":"1968","published-online":{"date-parts":[[2021,4,19]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"94","DOI":"10.1186\/1687-1812-2012-94","article-title":"Fixed points of a new type of contractive mappings in complete metric spaces","volume":"2012","author":"Wardowski","year":"2012","journal-title":"Fixed Point Theory Appl."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1607","DOI":"10.1007\/s40314-016-0314-z","article-title":"Common fixed points of set-valued F-contraction mappings on domain of sets endowed with directed graph","volume":"36","author":"Abbas","year":"2017","journal-title":"Comput. 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Comput."},{"key":"ref_7","first-page":"2297","article-title":"Fixed point results for multivalued F-contractions with application to integral and matrix equations","volume":"20","author":"Hussain","year":"2019","journal-title":"J. Nonlinear Convex Anal."},{"key":"ref_8","first-page":"108","article-title":"Notes on some recent papers concerning F-contractions in b-metric spaces","volume":"1","author":"Kadelburg","year":"2018","journal-title":"Constr. Math. Anal."},{"key":"ref_9","first-page":"897","article-title":"Coincidence points for graph preserving generalized almost F-G-contractions in b-metric spaces","volume":"27","author":"Mohanta","year":"2020","journal-title":"Nonlinear Stud."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"83","DOI":"10.5269\/bspm.41105","article-title":"Multi-valued fixed point theorem via F-contraction of Nadler type and application to functional and integral equations","volume":"39","author":"Shoaib","year":"2021","journal-title":"Bol. Soc. 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