Existence of solutions and gap functions for inverse mixed variational inequalities

In this study, the existence solutions for inverse mixed variational inequalities (IMVIs) are proved by using KKM technique without monotonicity and coercivity conditions. Further, the Auslender gap function (AFG), regularized gap function (RGF) and error bounds are studied for IMVIs lacking the projection operator and nonlinear scalarization function. Several examples are provided to illustrate the methodology.