Abstract
The new classes of LFc-correspondences and LFc -majorised correspondences without open lower sections is introduced. Some existence theorems of maximal elements of the LFc -correspondences and the LFc-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 LFc -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.
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