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

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Author Info
J.B.G. Frenk () (Erasmus University Rotterdam)
G. Kassay (Babes-Bolyai University Cluj, Romania)
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.

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File URL: http://www.tinbergen.nl/discussionpapers/97121.pdf
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Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 97-121/4.

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Date of creation: 29 Nov 1997
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Handle: RePEc:dgr:uvatin:19970121

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Web page: http://www.tinbergen.nl/

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Keywords: Generalized convexity Farkas-type theorems Lagrangian duality

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  1. Illés, T. & Kassay, G., 1994. "Farkas type theorems for generalized convexities," Pure Mathematics and Applications, Department of Mathematics, Corvinus University of Budapest, vol. 5(2), pages 225-239.
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