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

Nguyễn Định, Trần Hồng Mơ

Abstract


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.


Keywords


Alternative theorems; FarIas-type results for nonconvex systems; DC optimisation problems; Toland-Fencbel-Lagrange duality; Fenchel-Lagrange duality; Lagrange duality.



DOI: http://dx.doi.org/10.37569/DalatUniversity.2.2.194(2012)

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