Fixed point theorems and existence of equilibrium points of noncompact abstract economies for image-majorized mappings in image-spaces Original Research Article

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