In this paper, we aim to suggest the new concept of Levitin-Polyak (for short, LP) well-posedness for the parametric quasivariational inclusion and disclusion problems (for short, (resp. )). Necessary and sufficient conditions for well-posedness of these problems are proved.
As applications, we obtained immediately some results of well-posedness for the quasiequilibrium problems and for a scalar equilibrium problem.