2 research outputs found
A regularization method for ill-posed bilevel optimization problems
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.Comment: 19 page