On necessary conditions for efficiency in directionally differentiable optimization problems

Manh Hung Nguyen and Do Van Luu ()
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Do Van Luu: Hanoi Institute of Mathematics

Cahiers de la Maison des Sciences Economiques from Université Panthéon-Sorbonne (Paris 1)

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

Keywords: Directionally differentiable functions; Kuhn-Tucker necessary conditions; Lagrange multipliers; theorem of the alternative (search for similar items in EconPapers)
Pages: 16 pages
Date: 2006-10
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Related works:
Working Paper: ON NECESSARY CONDITIONS FOR EFFICIENCY IN DIRECTIONALLY DIFFERENTIABLE OPTIMIZATION PROBLEMS (2008)
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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Persistent link: https://EconPapers.repec.org/RePEc:mse:wpsorb:b06064

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