Necessary Optimality Conditions for Bilevel Optimization Problems Using Convexificators

  • Authors:

  • H. Babahadda;N. Gadhi

  • Affiliations:

  • Department of Mathematics, Dhar El Mehrez, Sidi Mohamed Ben Abdellah University, Fes, Morocco;Department of Mathematics, Dhar El Mehrez, Sidi Mohamed Ben Abdellah University, Fes, Morocco

  • Venue:
  • Journal of Global Optimization
  • Year:
  • 2006

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Abstract

In this work, we use a notion of convexificator (Jeyakumar, V. and Luc, D.T. (1999), Journal of Optimization Theory and Applicatons, 101, 599---621.) to establish necessary optimality conditions for bilevel optimization problems. For this end, we introduce an appropriate regularity condition to help us discern the Lagrange---Kuhn---Tucker multipliers.