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

Hans Frenk and G. Kassay

No EI 9742/A, Econometric Institute Research Papers from Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute

Abstract: In this paper we introduce several classes of generalized convex functions already discussed in the literature and show the relation between those function classes. Moreover, for some of those function classes a Farkas-type theorem is proved. As such this paper unifies and extends results existing in the literature and shows how these results can be used to verify Farkas-type theorems and strong Lagrangian duality results in finite dimensional optimization.

Keywords: Farkas-type theorems; Generalized convexity; Lagrangian duality (search for similar items in EconPapers)
Date: 1997-01-01
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Persistent link: https://EconPapers.repec.org/RePEc:ems:eureir:1401

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