New optimality conditions for bilevel programs by using an exact separation principle
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In this paper, we are concerned with a bilevel optimization problem \(\left( P\right) \). Reducing it into a one-level nonlinear and nonsmooth program using an exact separation theorem we give necessary optimality conditions in terms of Fréchet subdifferentials and Fréchet normal cones.
KeywordsBilevel optimzation Compact set Fréchet subdifferential Fréchet normal cone Optimality conditions
This work has been supported by the Alexander-von-Humboldt foundation.