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On alternative theorems and necessary conditions for efficiency

Author

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  • Do Van Luu

    (Institut de Mathématiques [Hanoi] - Académie des Sciences et Techniques)

  • Manh-Hung Nguyen

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this paper, we establish theorems of the alternative for a system described by inequalities, equalities and an inclusion, which are generalizations of Tucker's classical theorem of the alternative, and develop Kuhn-Tucker necessary conditions for efficiency to mathematical programs in normed spaces involving inequality, equality and set constraints with positive Lagrange multipliers of all the components of objective functions.

Suggested Citation

  • Do Van Luu & Manh-Hung Nguyen, 2006. "On alternative theorems and necessary conditions for efficiency," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00112454, HAL.
    • Handle: RePEc:hal:cesptp:halshs-00112454
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00112454
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