Existence and stability of solutions to inverse variational inequality problems

摘要

In this paper, two new existence theorems of solutions to inverse variational and quasi-variational inequality problems are proved using the Fan-Knaster-KuratowskiMazurkiewicz(KKM) theorem and the Kakutani-Fan-Glicksberg fixed point theorem.Upper semicontinuity and lower semicontinuity of the solution mapping and the approximate solution mapping to the parametric inverse variational inequality problem are also discussed under some suitable conditions. An application to a road pricing problem is given.