摘要
本文推广了[1]中的结果,证明了如下定理,任何从仿紧拓扑空间到实轴的集值映射若具有凸闭像且几乎下半连续,则存在连续选择.
Abstract In this paper,it is proved that any almost lower semicontinuous set-valued mappings with convex and closed images from a paracompact topological space to the real number axis always admits a continuous selection, which generalizes the result given in[1].
出处
《工程数学学报》
CSCD
1994年第1期89-93,共5页
Chinese Journal of Engineering Mathematics