与Tychonov不动点定理相关的几个结果  

Some Results Related to the Tychonov's Fixed Point Theorem

作　　者：程曹宗[1] 

机构地区：[1]北京工业大学计算机学院,100044

出　　处：《北京工业大学学报》1997年第3期67-72,共6页Journal of Beijing University of Technology

摘　　要：给出了两个拓扑向量空间的乘积空间上截口定理,极小极大不等式及一个推广的不动点定理.指出这3个形式不同的结果与Tychonov不动点定理是相互蕴含的.并且用截口定理直接证明了多值映射的一个重合定理.A section theorem, a minimax inequality and a generalized fixed point theorem where the underlying space is a product space of two topological vector spaces, are given. It is shown that results from the three different form and with Tychonov's fixed point theorem imply with each other. A coincidence theorem on set-valued mapping is directly derived according to the section theorem.

关 键 词：拓扑向量空间 截口定理 不动点 Tychonov不动点 

分 类 号：O189.2[理学—数学]