FARKAS-TYPE RESULTS FOR NONCONVEX SYSTEMS INVOLVING COMPOSITE FUNCTIONS WITH APPLICATIONS
DOI:
https://doi.org/10.37569/DalatUniversity.2.2.194(2012)Keywords:
Alternative theorems, FarIas-type results for nonconvex systems, DC optimisation problems, Toland-Fencbel-Lagrange duality, Fenchel-Lagrange duality, Lagrange duality.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.
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Published
30-06-2012
Volume and Issues
Section
Natural Sciences and Technology
Copyright & License
Copyright (c) 2012 Nguyễn Định, Trần Hồng Mơ
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
How to Cite
Định, N., & Mơ, T. H. (2012). FARKAS-TYPE RESULTS FOR NONCONVEX SYSTEMS INVOLVING COMPOSITE FUNCTIONS WITH APPLICATIONS. Dalat University Journal of Science, 2(2), 32-40. https://doi.org/10.37569/DalatUniversity.2.2.194(2012)
