{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:51:10Z","timestamp":1760151070246,"version":"build-2065373602"},"reference-count":19,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2022,2,9]],"date-time":"2022-02-09T00:00:00Z","timestamp":1644364800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Open Project of  State Key Laboratory of Environment-friendly Energy Materials","award":["19kfhg08"],"award-info":[{"award-number":["19kfhg08"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this note, a new equilibrium version of Ekeland\u2019s variational principle is presented. It is a modification and promotion of previous results. Subsequently, the principle is applied to discuss the equilibrium points for binary functions and the fixed points for nonlinear mappings.<\/jats:p>","DOI":"10.3390\/axioms11020068","type":"journal-article","created":{"date-parts":[[2022,2,9]],"date-time":"2022-02-09T21:19:06Z","timestamp":1644441546000},"page":"68","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A New Equilibrium Version of Ekeland\u2019s Variational Principle and Its Applications"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1208-0509","authenticated-orcid":false,"given":"Yuqiang","family":"Feng","sequence":"first","affiliation":[{"name":"School of Science, Wuhan University of Science and Technology, Wuhan 430065, China"},{"name":"Hubei Province Key Laboratory of Systems Science in Metallurgical Process, Wuhan 430065, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Juntao","family":"Xie","sequence":"additional","affiliation":[{"name":"School of Science, Wuhan University of Science and Technology, Wuhan 430065, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bo","family":"Wu","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Environment-Friendly Energy Materials, Mianyang 621010, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,2,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"324","DOI":"10.1016\/0022-247X(74)90025-0","article-title":"On the variational principle","volume":"4","author":"Ekeland","year":"1974","journal-title":"J. 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