|
|||||
|
|
A necessary and sufficient condition for upper hemicontinuous set-valued mappings without compact-values being upper demicontinuous |
|
| Authors: | Gan-Shang Yang George Xian-Zhi Yuan |
| Institution: | Department of Mathematics, Yunnan National Institute, Kunming, China 650031 George Xian-Zhi Yuan ; Department of Mathematics, The University of Queensland, Brisbane, Queensland, Australia 4072 |
| Abstract: | The purpose of this article is to give a characterization of an upper hemicontinuous mapping with non-empty convex values being upper demicontinuous, i.e., we show that an upper hemicontinuous set-valued mapping with non-empty convex values (not necessarily compact-valued) is upper demicontinuous if and only if the set-valued mapping has no interior asymptotic plane. |
| Keywords: | Upper semicontinuous upper hemicontinuous upper demicontinuous asymptotic plane interior asymptotic plane |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文 | |