On well-posedness associated with a class of controlled variational inequalities

In this paper, by using the new concepts of monotonicity, pseudomonotonicity and hemicontinuity associated with considered curvilinear integral functional, we investigate well-posedness in generalized sense for a class controlled variational inequality problems. More precisely, introducing approximating solution set problems, formulate prove some characterization results on sense. Also, theoretical developments presented paper are accompanied illustrative examples.