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A regularization method for ill-posed bilevel optimization problems

Maïtine Bergounioux·Mounir Haddou
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Abstract

We present a regularization method to approach a solution of the pessimistic formulation of ill -posed bilevel problems . This allows to overcome the difficulty arising from the non uniqueness of the lower level problems solutions and responses. We prove existence of approximated solutions, give convergence result using Hoffman-like assumptions. We end with objective value error estimates.

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Maïtine Bergounioux, Mounir Haddou. 2006-03-31. A regularization method for ill-posed bilevel optimization problems. https://doi.org/10.1051/ro:2006009

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