On necessary conditions for efficiency in directionally differentiable optimization problems

Manh Hung Nguyen and Do Van Luu ()
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Do Van Luu: Institut de Mathématiques [Hanoi] - Académie des Sciences et Techniques

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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.

Keywords: Directionally differentiable functions; Kunh-Tucker necessary conditions; Lagrange multipliers; theorem of the alternative; optimisation multi-critère; multiplicateurs de Lagrange; Conditions de Kuhn-Tucker; théorème de l'alternative (search for similar items in EconPapers)
Date: 2006-10
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00118977
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Published in 2006

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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:hal:journl:halshs-00118977

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