MINIMAX THEOREMS FOR VECTOR-VALUED MAPPINGS IN ABSTRACT CONVEX SPACES
Ming-Ge Yang, Jiuping Xu, Nan‐jing Huang, Su-Jane Yu · Taiwanese Journal of Mathematics · 2010
In this paper, we introduce the concepts of $C$-quasiconcave mappings and properly $C$-quasiconcave mappings in abstract convex spaces. By using the Fan-Browder type fixed point theorem and the maximal element theorem, we establish some minimax theorems for vector-valued mappings in abstract convex spaces. We also give some examples to illustrate our results.