Characterizing solution set of a nonconvex programming problem via its dual problems

Using duality theory, we propose a new approach to charact erize solution set of a nonconvex optimization problem. Several characterizations of solution set of the problem are established via it s dual problems. Charact eriza tions of solution sets of some class of convexj'nonconvex optimizatio...

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Bibliographic Details
Main Authors: Đỗ, Sang Kim, Tạ, Quang Sơn
Format: Article
Language:English
Published: Trường Đại học Đà Lạt 2014
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Online Access:https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/37428
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Institutions: Thư viện Trường Đại học Đà Lạt
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Summary:Using duality theory, we propose a new approach to charact erize solution set of a nonconvex optimization problem. Several characterizations of solution set of the problem are established via it s dual problems. Charact eriza tions of solution sets of some class of convexj'nonconvex optimization problems given in several papers before can be covered. Example is given. Mathematics Subject Classification. 90C46, 49N15.