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On alternative theorems and necessary conditions for efficiency

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Author Info
Do Van Luu () (Hanoi Institute of Mathematics)
Manh Hung Nguyen () (Centre d'Economie de la Sorbonne)

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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.

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File URL: ftp://mse.univ-paris1.fr/pub/mse/cahiers2006/B06019.pdf
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Publisher Info
Paper provided by Université Panthéon-Sorbonne (Paris 1) in its series Cahiers de la Maison des Sciences Economiques with number b06019.

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Length: 20 pages
Date of creation: Mar 2006
Date of revision:
Handle: RePEc:mse:wpsorb:b06019

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Related research
Keywords: Theorem of the alternative; Kuhn-Tucker necessary condition; constraint qualification.;

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