Fixed point theorems and existence of equilibrium points of noncompact abstract economies for LF∗-majorized mappings in FCFC-spaces

In this paper, we first establish two fixed point theorems in noncompact FCFC-spaces. Next two existence theorems of maximal elements for LF∗-correspondence and LF∗-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 LF∗-majorized correspondences are obtained in FCFC-spaces. These results generalize some known results in recent literature.