{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T11:26:19Z","timestamp":1771673179443,"version":"3.50.1"},"reference-count":26,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2023,3,6]],"date-time":"2023-03-06T00:00:00Z","timestamp":1678060800000},"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>In this paper, we will prove several new results related to the concept of the multi-valued Feng\u2013Liu contraction. An existence, approximation and localization fixed point theorem for a generalized multi-valued nonself Feng\u2013Liu contraction and a new fixed point theorem for multi-valued Feng\u2013Liu contractions in vector-valued metric spaces are proved. Stability results and an application to a system of operatorial inclusions are also given.<\/jats:p>","DOI":"10.3390\/axioms12030274","type":"journal-article","created":{"date-parts":[[2023,3,6]],"date-time":"2023-03-06T06:29:06Z","timestamp":1678084146000},"page":"274","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["New Contributions to Fixed Point Theory for Multi-Valued Feng\u2013Liu Contractions"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5629-5667","authenticated-orcid":false,"given":"Adrian","family":"Petru\u015fel","sequence":"first","affiliation":[{"name":"Department of Mathematics, Babe\u015f-Bolyai University Cluj-Napoca, Kog\u0103lniceanu Street, No.1, 400084 Cluj-Napoca, Romania"},{"name":"Academy of Romanian Scientists, Independen\u0163ei No. 54, 050094 Bucharest, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8405-1977","authenticated-orcid":false,"given":"Gabriela","family":"Petru\u015fel","sequence":"additional","affiliation":[{"name":"Department of Business, Babe\u015f-Bolyai University Cluj-Napoca, Horea Street, No.7, 400174 Cluj-Napoca, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jen-Chih","family":"Yao","sequence":"additional","affiliation":[{"name":"Center for General Education, China Medical University Taichung, Taichung 40402, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,3,6]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"475","DOI":"10.2140\/pjm.1969.30.475","article-title":"Multi-valued contraction mappings","volume":"30","author":"Nadler","year":"1969","journal-title":"Pacific J. 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