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On necessary conditions for efficiency in directionally differentiable optimization problems

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Author Info
Manh-Hung Nguyen () (CES - Centre d'économie de la Sorbonne - CNRS : UMR8174 - Université Panthéon-Sorbonne - Paris I)
Do Van Luu () (Hanoï Institute of Mathematics - Institute of Mathematics)

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Abstract

This paper deals with multiobjective programming problems with inequality, equality and set constraints involving Dini or Hadamard differentiable functions. 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 HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00118977_v1.

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Date of creation: Oct 2006
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Handle: RePEc:hal:cesptp:halshs-00118977_v1

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Related research
Keywords: Directionally differentiable functions; Kunh-Tucker necessary conditions; Lagrange multipliers; theorem of the alternative.;

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