{"title":"Set-valued optimization problems via second-order contingent epiderivative","authors":"K. Das, C. Nahak","doi":"10.2298/yjor191215041d","DOIUrl":null,"url":null,"abstract":"In this paper, we establish second-order KKT conditions of a set-valued optimization problem and study second-order Mond-Weir, Wolfe, and mixed types duals with the help of second-order contingent epiderivative and second-order generalized cone convexity assumptions.","PeriodicalId":52438,"journal":{"name":"Yugoslav Journal of Operations Research","volume":"76 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Yugoslav Journal of Operations Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2298/yjor191215041d","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Decision Sciences","Score":null,"Total":0}
引用次数: 5
Abstract
In this paper, we establish second-order KKT conditions of a set-valued optimization problem and study second-order Mond-Weir, Wolfe, and mixed types duals with the help of second-order contingent epiderivative and second-order generalized cone convexity assumptions.
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