ON NECESSARY CONDITIONS FOR EFFICIENCY IN DIRECTIONALLY DIFFERENTIABLE OPTIMIZATION PROBLEMS

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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Year of publication:	2008
Authors:	Nguyen, Manh-Hung ; Luu, Do Van
Institutions:	Théorie Économique, Modélisation, Application (THEMA), Université de Cergy-Pontoise
Subject:	Theorem of the alternative \| Kuhn-Tucker necessary conditions \| direc- tionally differentiable functions

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Extent:	application/pdf
Series:	THEMA Working Papers.
Type of publication:	Book / Working Paper
Language:	English
Notes:	Number 2008-09
Source:	RePEc - Research Papers in Economics

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