G-凸空间中的择一原理和极大极小不等式

Alternative Principles and Minimax Inequalities in G-Convex Spaces

利用Kuo、Jeng和Huang提出的不动点定理,给出G-凸空间中关于3个映射值的非常一般的相交定理.由此结果依次导出了关于极大元、解析择一和极大极小不等式的择一定理.

By using a fixed point theorem due to Kuo, Jeng and Huang in G-convex spaces a very general intersection theorem concerning the values of three maps was obtained. From this result successively alternative theorems concerning maximal elements, analytic alternatives and minimax inequalities were derived.