ON NECESSARY CONDITIONS FOR EFFICIENCY IN DIRECTIONALLY DIFFERENTIABLE OPTIMIZATION PROBLEMS

Manh Hung Nguyen and Do Van Luu ()
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Do Van Luu: Institute of Mathematics, 18 Hoang Quoc Viet Road, 10307 Hanoi Vietnam

No 2008-09, THEMA Working Papers from THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise

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.

Keywords: Theorem of the alternative; Kuhn-Tucker necessary conditions; direc- tionally differentiable functions. (search for similar items in EconPapers)
Date: Written 2008
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Related works:
Working Paper: On necessary conditions for efficiency in directionally differentiable optimization problems (2006)
Working Paper: On necessary conditions for efficiency in directionally differentiable optimization problems (2006)
Working Paper: On necessary conditions for efficiency in directionally differentiable optimization problems (2006)
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