摘要
本文在Hausdorff 拓扑向量空间的仿紧集合上,给出了所谓弱下半连续的集值映射的概念和一个近似选择定理.类似于Ky Fan 不动点定理,本文所建立的一个新的不动点定理,将弱下半连续性条件取代了Fan 定理中的上半连续性条件.
On the paracompact subsets of Hausdorff topological vector spaces,this paper proposes a so-called weak lower semicontinuous concept for set-valuedmappings and a proximate selection theorem.As an analogue of Ky Fan's fixed-point theorem,a new theorem is set up to the upper semicontinuous condition inFan's theorem by a weak lower semicontinuous condition.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
1989年第2期1-4,共4页
Journal of Shanghai Jiaotong University
关键词
集值映射
不动点
向量空间
set-valued mapping
weak lower semicontinuous
proximate selection
fixed point
