{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,31]],"date-time":"2026-03-31T06:01:42Z","timestamp":1774936902146,"version":"3.50.1"},"reference-count":30,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2024,1,13]],"date-time":"2024-01-13T00:00:00Z","timestamp":1705104000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>We introduce the new idea of (\u03b1\u2212\u03b8\u03c3)-contraction in quasi-metric spaces in this paper. For these kinds of mappings, we then prove new fixed-point theorems on left K, left M, and left Smyth-complete quasi-metric spaces. We also apply our results to infer the existence of a solution to a second-order boundary-value problem.<\/jats:p>","DOI":"10.3390\/sym16010099","type":"journal-article","created":{"date-parts":[[2024,1,15]],"date-time":"2024-01-15T11:15:01Z","timestamp":1705317301000},"page":"99","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["An Existence Result for Second-Order Boundary-Value Problems via New Fixed-Point Theorems on Quasi-Metric Space"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5010-273X","authenticated-orcid":false,"given":"Gonca Durmaz","family":"G\u00fcng\u00f6r","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, \u00c7ank\u0131r\u0131 Karatekin University, 18100 \u00c7ank\u0131r\u0131, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7967-0554","authenticated-orcid":false,"given":"Ishak","family":"Altun","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Engineering and Natural Science, Kirikkale University, 71450 Kirikkale, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,1,13]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1186\/1687-1812-2014-40","article-title":"A fixed point theorem for generalized contractions involving w-distances on complete quasi metric spaces","volume":"2014","author":"Alegre","year":"2014","journal-title":"Fixed Point Theory Appl."},{"key":"ref_2","first-page":"266","article-title":"Existence of fixed points in quasi metric spaces","volume":"69","author":"Chandok","year":"2020","journal-title":"Commun. 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