戴正德,杨干山.关于上半连续性和Kakutani不动点定理[J].数学研究及应用,1993,13(2):249~252 |
关于上半连续性和Kakutani不动点定理 |
On the Upper Semicontinuous Mappings and Kakutani's Fixed Point Theorem |
投稿时间:1991-03-27 |
DOI:10.3770/j.issn:1000-341X.1993.02.018 |
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中文摘要: |
本文给出了集值映象的弱上半连续而非准上半连续的例子,证明了对于闭凸的集值映象弱上半连续和准上半连续等价,并把Kakutani不动点定理推广到非闭凸的弱上半连续的情形. |
英文摘要: |
In this paper, we study the relationship between upper hemicontinuous multi- valued mappings (uhc) and upper demicontinuous multi-valued mappings (udc), we give the sim-ple example which is uhc mappings but is not udc mappings, and get kakutani's fixed point theorem for uhc mappings. |
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