{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:19:23Z","timestamp":1760149163643,"version":"build-2065373602"},"reference-count":20,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2023,7,18]],"date-time":"2023-07-18T00:00:00Z","timestamp":1689638400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Romanian Ministry of Research, Innovation and Digitalization","award":["PFE 26\/30.12.2021"],"award-info":[{"award-number":["PFE 26\/30.12.2021"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, we introduce a new type of contractions on a metric space (X,d) in which the distance d(x,y) is replaced with a function, depending on a parameter \u03bb, that is not symmetric in general. This function generalizes the usual case when \u03bb=1\/2 and can take bigger values than m1\/2. We call these new types of contractions \u03bb-weak contractions and we provide some of their properties. Moreover, we investigate cases when these contractions are Picard operators.<\/jats:p>","DOI":"10.3390\/sym15071442","type":"journal-article","created":{"date-parts":[[2023,7,19]],"date-time":"2023-07-19T00:47:38Z","timestamp":1689727658000},"page":"1442","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Fixed Points and \u03bb-Weak Contractions"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3110-9805","authenticated-orcid":false,"given":"Laura","family":"Manolescu","sequence":"first","affiliation":[{"name":"Department of Mathematics, Politehnica University of Timi\u015foara, Pia\u0163a Victoriei 2, 300006 Timi\u015foara, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Adina","family":"Juratoni","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Politehnica University of Timi\u015foara, Pia\u0163a Victoriei 2, 300006 Timi\u015foara, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,7,18]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"133","DOI":"10.4064\/fm-3-1-133-181","article-title":"Sur les op\u00e9rations dans lesensembles abstraits et leur application aux \u00e9quations int\u00e9grales","volume":"3","author":"Banach","year":"1922","journal-title":"Fundam. 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Math."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/15\/7\/1442\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T20:14:24Z","timestamp":1760127264000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/15\/7\/1442"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,7,18]]},"references-count":20,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2023,7]]}},"alternative-id":["sym15071442"],"URL":"https:\/\/doi.org\/10.3390\/sym15071442","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2023,7,18]]}}}