FARKAS-TYPE RESULTS FOR NONCONVEX SYSTEMS INVOLVING COMPOSITE FUNCTIONS WITH APPLICATIONS

A new kind of closedness conditions (CC) is introduced. Several Farkas-type results and their characterisations 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...

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Bibliographic Details
Main Authors: Nguyễn Định, Trần Hồng Mơ
Format: Article
Language:English
Published: Dalat University 2012-06-01
Series:Tạp chí Khoa học Đại học Đà Lạt
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Online Access:https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/194
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Summary:A new kind of closedness conditions (CC) is introduced. Several Farkas-type results and their characterisations 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.
ISSN:0866-787X