Levitin-Polyak well-posedness in generalized variational inequality problems with functional constraints

In this paper, we study Levitin-Polyak type well-posedness for generalized variational inequality problems with functional constraints, as well as an abstract set constraint. We will introduce several types of generalized Levitin-Polyak well-posednesses, and give various criteria and characterizations for these types of well-posednesses.