摘要
用具体例子揭示了集值映射上半连续和下半连续本质的不同性 ,给出了集值映射下半连续的三个充要条件和相应的证明 ,使得集值映射的连续性理论在稳定性的应用中更加灵活方便 。
The most essential and important character in semicontinuity of setvalued mappings is its lower semicontinuity and upper semicontinuity. By using two concrete examples, this article reveals the essential difference between the two semicontinuities and gives three sufficient and necessary conditions for lower semicontinuity of setvalued mappings and the relative proofs, which can convenience the application of semicontinuity theory in stability area and sometimes we can look on the three conditions as the judgment of lower semicontinuity.
出处
《湖州师范学院学报》
2004年第2期26-28,共3页
Journal of Huzhou University
关键词
集值映射
上半连续
下半连续
set-valued mapping
lower semi-continuity
upper semi-continuity
