Equilibria of noncompact generalized games with correspondences without open lower sections

The new classes of L-Fc-correspondences and L-Fc-majorised correspondences without open lower sections is introduced. Some existence theorems of maximal elements of the L-Fc-correspondences and the L-Fc-majorized correspondences defined on noncompact set in topological vector spaces are obtained. As applications, some existence theorems of equilibrium points for one-person games, qualitative games and generalized games with the L-Fc-majorized correspondences defined on noncompact strategy sets in topological vector spaces are also given. These theorems improve and generalize several known results in recent literature.