{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,14]],"date-time":"2025-11-14T07:37:31Z","timestamp":1763105851623,"version":"3.41.2"},"reference-count":23,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["12171061"],"award-info":[{"award-number":["12171061"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Science and Technology Research Program of Chongqing Education Commission","award":["KJZD-K202001104"],"award-info":[{"award-number":["KJZD-K202001104"]}]},{"name":"Graduate Innovation Foundation of the Chongqing University of Technology","award":["clgycx20202111"],"award-info":[{"award-number":["clgycx20202111"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asia Pac. J. Oper. Res."],"published-print":{"date-parts":[[2023,4]]},"abstract":"<jats:p> In this paper, our purpose is to use the improvement set to investigate the scalarization and optimality conditions of E-globally proper efficient solution for the set-valued equilibrium problems with constraints. First, the notion of E-globally proper efficient solution for set-valued equilibrium problems with constraints is introduced in locally convex Hausdorff topological spaces. Second, the linear scalarization theorems of E-globally proper efficient solution are derived. Finally, under the assumption of nearly E-subconvexlikeness, the Kuhn\u2013Tucker and Lagrange optimality conditions for set-valued equilibrium problems with constraints are obtained in the sense of E-globally proper efficiency. Meanwhile, we give some examples to illustrate our results. The results obtained in this paper improve and generalize some known results in the literature. <\/jats:p>","DOI":"10.1142\/s0217595922500099","type":"journal-article","created":{"date-parts":[[2022,3,1]],"date-time":"2022-03-01T01:04:01Z","timestamp":1646096641000},"source":"Crossref","is-referenced-by-count":6,"title":["Scalarization and Optimality Conditions of <i>E<\/i>-Globally Proper Efficient Solution for Set-Valued Equilibrium Problems"],"prefix":"10.1142","volume":"40","author":[{"given":"Zhi-Ang","family":"Zhou","sequence":"first","affiliation":[{"name":"College of Science, Chongqing University of Technology, Chongqing 400054, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Min","family":"Kuang","sequence":"additional","affiliation":[{"name":"College of Science, Chongqing University of Technology, Chongqing 400054, P. R. 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