Generalized Variational and Quasi-Variational Inequalities with Discontinuous Operators

We study the existence of solutions to generalized variational and generalized quasi-variational inequalities with discontinuous operators. We obtain results which generalize and extend previously known theorems. We also compare our new continuity condition on the operator in the variational inequality to previously used continuity conditions. We then apply our results to generalized variational inequalities which involve pseudo-monotone operators