On Classes of Generalized Convex Functions, Gordan–Farkas Type Theorems, and Lagrangian Duality

J. B. G. Frenk and G. Kassay
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J. B. G. Frenk: Erasmus University
G. Kassay: Babes-Bolyai University

Journal of Optimization Theory and Applications, 1999, vol. 102, issue 2, No 7, 315-343

Abstract: Abstract 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.

Keywords: Generalized convexity; Gordan–Farkas type theorems; Lagrangian duality (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (16)

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DOI: 10.1023/A:1021780423989

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