Abstract

We consider parametric multiobjective generalized games. For such a game defined on topological vector spaces, sufficient conditions for the lower semicontinuity of a set of approximate weak Pareto–Nash equilibrium points as well as for the Levitin–Polyak well-posedness are proved under compactness assumptions. For the case where a game is defined on metric spaces, full characterizations of the Levitin–Polyak well-posedness are established in terms of measures of noncompactness.