{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:45:49Z","timestamp":1760150749531,"version":"build-2065373602"},"reference-count":41,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2022,1,20]],"date-time":"2022-01-20T00:00:00Z","timestamp":1642636800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Scientic Research Fund of Science and Technology The optimal control problems 23 Department of Sichuan Provincial","award":["2018JY0340,2018JY0334"],"award-info":[{"award-number":["2018JY0340,2018JY0334"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this article, we propose an optimal control problem for generalized elliptic quasi-variational inequality with unilateral constraints. Then, we discuss the sufficient assumptions that ensure the convergence of the solutions to the optimal control problem. The proofs depend on convergence results for generalized elliptic quasi-variational inequalities, obtained by the arguments of compactness, lower semi-continuity, monotonicity, penalty and different estimates. As an application, we addressed the abstract convergence results in the analysis of optimal control associated with boundary value problems.<\/jats:p>","DOI":"10.3390\/sym14020199","type":"journal-article","created":{"date-parts":[[2022,1,20]],"date-time":"2022-01-20T22:59:57Z","timestamp":1642719597000},"page":"199","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["The Optimal Control Problems for Generalized Elliptic Quasivariational Inequalities"],"prefix":"10.3390","volume":"14","author":[{"given":"Shih-Sen","family":"Chang","sequence":"first","affiliation":[{"name":"Center for General Education, China Medical University, Taichung 40402, Taiwan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9740-7207","authenticated-orcid":false,"given":"Abdullah Ali H.","family":"Ahmadini","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Jazan University, Jazan 45142, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4078-8635","authenticated-orcid":false,"family":"Salahuddin","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Jazan University, Jazan 45142, Saudi Arabia"}]},{"given":"Min","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Yibin University, Yibin 644007, China"}]},{"given":"Jinfang","family":"Tang","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Yibin University, Yibin 644007, China"}]}],"member":"1968","published-online":{"date-parts":[[2022,1,20]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Mei, D., Sun, Y., Zhao, H., and He, X.T. 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