摘要
In this paper,we are concerned with a weak(pessimistic)nonlinear bilevel optimization problem.In a sequential setting,for such a problem,we provide sufficient conditions ensuring the existence of solutions via a regularization and the notion of variational convergence.Unlike the approaches adopted by Aboussoror and Loridan(J Math Anal Appl 254:348-357,2001)and Aboussoror(Adv Math Res 1:83-92,2002),our approach does not require convexity assumptions and gives an extension from the finite dimensional case to a general topological one.Moreover,it gives an improvement of the result given by Loridan and Morgan(in:Buhler et al.(ed)Operations Research Proceedings of the international Conference on Operations Research 90 in Vienna,Springer Verlag,Berlin 1992).
