{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:03:12Z","timestamp":1760148192493,"version":"build-2065373602"},"reference-count":48,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2023,4,10]],"date-time":"2023-04-10T00:00:00Z","timestamp":1681084800000},"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>One of the well-studied generalizations of a metric space is known as a partial metric space. The partial metric space was further generalized to the so-called M-metric space. In this paper, we introduce the Double-Controlled Quasi M-metric space as a new generalization of the M-metric space. In our new generalization of the M-metric space, the symmetry condition is not necessarily satisfied and the triangle inequality is controlled by two binary functions. We establish some fixed point results, along with the examples and applications to illustrate our results.<\/jats:p>","DOI":"10.3390\/sym15040893","type":"journal-article","created":{"date-parts":[[2023,4,10]],"date-time":"2023-04-10T05:59:33Z","timestamp":1681106373000},"page":"893","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Double-Controlled Quasi M-Metric Spaces"],"prefix":"10.3390","volume":"15","author":[{"given":"Irshad","family":"Ayoob","sequence":"first","affiliation":[{"name":"Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia"},{"name":"School of Mathematics, Universiti Sains Malaysia, Gelugor 11800, Malaysia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6909-8411","authenticated-orcid":false,"given":"Ng Zhen","family":"Chuan","sequence":"additional","affiliation":[{"name":"School of Mathematics, Universiti Sains Malaysia, Gelugor 11800, Malaysia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7986-886X","authenticated-orcid":false,"given":"Nabil","family":"Mlaiki","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2023,4,10]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"133181","DOI":"10.4064\/fm-3-1-133-181","article-title":"Sur les operations dans les ensembles abstraits et leur applications aux equations intgrales","volume":"3","author":"Banach","year":"1922","journal-title":"Fundam. 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