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Title: On alternative theorems and necessary conditions for efficiency
Authors: Do Van Luu
Keywords: Kuhn–Tucker necessary condition; theorem of the alternative; constraint qualification
Issue Date: 2009
Publisher: Taylor & Francis
Series/Report no.: ;Vol. 58, No. 1, January 2009
Abstract: In this article, we establish theorems of the alternative for a system described by inequalities, equalities and a set inclusion, which are generalizations of Tucker’s classical theorem of the alternative, and develop Kuhn–Tucker necessaryconditions for efficiency to mathematical programs in normed linear spaces involving inequality, equality and set constraints with positive Lagrange multipliers of all the components of objective functions
URI: http://thuvienso.thanglong.edu.vn//handle/TLU/8224
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