On necessary conditions for efficiency in directionally differentiable optimization problems

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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Year of publication:	2006-10
Authors:	Nguyen, Manh-Hung ; Luu, Do Van
Institutions:	HAL
Subject:	Directionally differentiable functions \| Kunh-Tucker necessary conditions \| Lagrange multipliers \| theorem of the alternative

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Extent:	application/pdf
Series:	Post-Print.
Type of publication:	Book / Working Paper
Notes:	View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00118977
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010750520