On alternative theorems and necessary conditions for efficiency

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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Year of publication:	2006-03
Authors:	Luu, Do Van ; Nguyen, Manh-Hung
Institutions:	HAL

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Extent:	application/pdf
Series:	Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers).
Type of publication:	Book / Working Paper
Language:	English
Notes:	View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00112454
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008795282