Farkas-type results for nonconvex systems involving composite functions with applications

A new kind of closednesa conditions (CC) is introduced. Several Farkastype results and their characterizations for nonconvex systems involving DC and composite functions are established under/via this condition. As applications, the results are applied to get optimality conditions, duality result...

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Główni autorzy: Nguyễn, Định, Trần, Hồng Mơ
Format: Artykuł
Język:English
Wydane: Trường Đại học Đà Lạt 2012
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Dostęp online:https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/31064
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Thư viện lưu trữ: Thư viện Trường Đại học Đà Lạt
Opis
Streszczenie:A new kind of closednesa conditions (CC) is introduced. Several Farkastype results and their characterizations for nonconvex systems involving DC and composite functions are established under/via this condition. As applications, the results are applied to get optimality conditions, duality results for classes of DC/convex problems. Mathematics Subject Classification. Primary: 90C48, 90C46; Secondary: 49N15, 90C25.