FARKAS-TYPE RESULTS FOR NONCONVEX SYSTEMS INVOLVING COMPOSITE FUNCTIONS WITH APPLICATIONS
Keywords:Alternative theorems, FarIas-type results for nonconvex systems, DC optimisation problems, Toland-Fencbel-Lagrange duality, Fenchel-Lagrange duality, Lagrange duality.
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.
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Copyright (c) 2012 Nguyễn Định, Trần Hồng Mơ
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