In this paper, we present a new smoothing approach to solve general nonlinear complementarity problems. Under the P 0 condition on the original problems, we prove some existence and convergence results. We also present an error estimate under a new and general monotonicity condition. The numerical tests confirm the efficiency of our proposed methods.
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… (More)