P型空间中的鞍点定理与极大极小原理

Saddle Theorem and Ky Fan Minimax Theorem in the P-space

通过一连续函数族定义一类拓扑空间——没有明确线性结构的P型空间,并给出了P型空间中的Kakutani不动点定理,然后应用得到了P型空间中的一个鞍点定理与P型空间KyFan极大极小原理.

Convexity spaces definde are generated by families of continous functions- P- space Without imposing any explicitly stated sttructure on the spaces, and giving Kakutani＇s fixed point theorem of P- space, we can obtain saddle theorem and Ky Fan minimax theorem in the P-space by applying Kakutani＇s fixed point theorem.