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On Necessary Conditions For Efficiency In Directionally Differentiable Optimization Problems

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Author Info
Manh-Hung Nguyen () (THEMA, Université de Cergy-Pontoise , 33 bd du Port, F-95011 Paris Cedex France)
Do Van Luu () (Institute of Mathematics, 18 Hoang Quoc Viet Road, 10307 Hanoi Vietnam)

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Abstract

This paper deals with multiobjective programming problems with in- equality, equality and set constraints involving Dini or Hadamard differentiable func- tions. A theorem of the alternative of Tucker type is established, and from which Kuhn-Tucker necessary conditions for local Pareto minima with positive Lagrange multipliers associated with all the components of objective functions are derived.

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Paper provided by THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise in its series THEMA Working Papers with number 2008-09.

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Date of creation: 2008
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Handle: RePEc:ema:worpap:2008-09

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Related research
Keywords: Theorem of the alternative; Kuhn-Tucker necessary conditions; direc- tionally differentiable functions.;

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