Well-posedness by perturbations of inverse tensor variational inequalities

The purpose of this chapter is to introduce the Tykhonov well- posedness (shortly well-posedness) by perturbations of inverse tensor variational inequalities. In addition, we obtain some metric characterizations of ω- well-posedness by perturbations. Under suitable conditions, we show that the well- posedness by perturbations of an inverse tensor variational inequality is equivalent to the existence and uniqueness of its solution. Finally, we prove that the well-posedness by perturbations of an inverse tensor variational inequality is equivalent to the well- posedness by perturbations of a classical tensor variational inequality.