Section Theorems on H-Spaces with Applications

Some further generalizations of Fan′s and Shih-Tan′s geometric theorems for convex sets are obtained. As applications, in Sections 3-5, we utilize these results to study the minimax inequalities, and the fixed point theorems for multi-valued mappings. The results presented in this paper generalize the von Neumann and the Fan-Kneser minimax theorems and some others recent results.