拓扑空间中的截口定理及其应用

Section Theorem and Its Applications in Topological Space

将Ky Fan截口定理推广到具有性质(H)的拓扑空间.作为应用,在具有性质(H)的拓扑空间上进一步推广了Browder不动点定理,并利用所得结果在具有性质(H)的拓扑空间中证明了极大极小不等式定理和鞍点定理.

Ky Fans section theorem is generalized to topological space with property （H）. As applications, Browder＇ s fixed point theorem is further generalized in topological space with property（H）, whose results are made use of in proving minimax inequality theorem and saddle point theorem in topological space with property（H）.