与Tychonov不动点定理相关的几个结果

详细信息

Some Results Related to the Tychonov's Fixed Point Theorem

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.
- 拓扑向量空间 /
- 截口定理 /
- 极小极大不等式 /
- 不动点定理
Abstract: 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.
- topological vector space /
- section theorem /
- minimax inequality /
- fixed point theorem