On Classes of Generalized Convex Functions, Gordan–Farkas Type Theorems, and Lagrangian Duality
August 1999
Article
volume 102 pp 315-343.
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In this paper, we introduce several classes of generalized convex functions already discussed in the literature and show the relation between these classes. Moreover, a Gordan–Farkas type theorem is proved for all these classes and it is shown how these theorems can be used to verify strong Lagrangian duality results in finite-dimensional optimization.
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