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On constraint qualifications with generalized convexity and optimality conditions

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

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Abstract

This paper deals with a multiobjective programming problem involving both equality constraints in infinite dimensional spaces. It is shown that some constraint qualifications together with a condition of interior points are sufficient conditions for the invexity of constraint maps with respect to the same scale map. Under a new constraint qualification which involves an invexity condition and a generalized Slater condition a Kuhn-Tucker necessary condition is established.

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File URL: ftp://mse.univ-paris1.fr/pub/mse/cahiers2006/B06020.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 b06020.

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Length: 18 pages
Date of creation: Mar 2006
Date of revision:
Handle: RePEc:mse:wpsorb:b06020

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Related research
Keywords: Invexity; scale; constraint qualification; nearly S-convelike mapping.;

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