Fixed points, maximal elements and equilibria of generalized games in abstract convex spaces
Summary: We firstly prove some new fixed point theorems for set-valued mappings in noncompact abstract convex spaces. Next, two existence theorems of maximal elements for class of \(\mathcal A_{C, \theta}\) mapping and \(\mathcal A_{C, \theta}\)-majorized mapping are obtained. As applications, we establish new equilibria existence theorems for qualitative games and generalized games. Our theorems improve and generalize the most known results in recent literature.
scientific article; zbMATH DE number 6134173
scientific article