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

Author

Listed:
  • J.B.G. Frenk

    (Erasmus University Rotterdam)

  • G. Kassay

    (Babes-Bolyai University Cluj, Romania)

Abstract

In this paper we introduce several classes of generalized convexfunctions already discussed in the literature and show the relationbetween those function classes. Moreover, for some of those functionclasses a Farkas-type theorem is proved. As such this paper unifiesand extends results existing in the literature and shows how these resultscan be used to verify Farkas-type theorems and strong Lagrangian dualityresults in finite dimensional optimization.

Suggested Citation

  • J.B.G. Frenk & G. Kassay, 1997. "On Classes of Generalized Convex Functions, Farkas-Type Theorems and Lagrangian Duality," Tinbergen Institute Discussion Papers 97-121/4, Tinbergen Institute.
    • Handle: RePEc:tin:wpaper:19970121
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    File URL: https://papers.tinbergen.nl/97121.pdf
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    References listed on IDEAS

    as
    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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