摘要
本文对像空间为一般拓扑向量空间的集值映射,给出了所谓几乎下半连续的概念;并借助于文献[2]中的思想,进一步探讨了点像落在Fréchet空间的集值映射连续选择的存在性问题,给出了一个特征性结果,它包含若干已知结果为其特款。
An almost lower semicontinuity for a set-valued mapping with image space being a topological vector space. Moreover, the existence of a continuous selection for a set-valued mapping with image falling into a Fréchet space is discussed by means of the idea in [2], and a characteristic result, which includes many results known before, is given.
出处
《云南师范大学学报（自然科学版）》
1992年第3期1-6,14,共7页
Journal of Yunnan Normal University:Natural Sciences Edition
关键词
集值映射
连续选择
FRECHET空间
almost lower semicontinuous Fréchet space set-valued mapping continuous selection
