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  • Authors: Do Van Luu (2009)

  • 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