Abstract
In this paper, we first establish two fixed point theorems in noncompact F C -spaces. Next two existence theorems of maximal elements for L F ∗ -correspondence and L F ∗ -majorized correspondence are obtained. Finally, by applying the existence theorems of maximal elements, some new equilibrium existence theorems for one person game, qualitative games and noncompact abstract economies with L F ∗ -majorized correspondences are obtained in F C -spaces. These results generalize some known results in recent literature.
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