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超凸空间中的连续选择定理与耦合定理(英文)
Continuous Selection Theorems and Coincidence Theorems on Hyperconvex Spaces
【摘要】 本文给出了超凸空间中的连续选择定理与耦合定理,并得到了它们的证明. 作为应用,我们给出了超凸空间中的不动点定理与截口定理.
【Abstract】 In this paper, some continuous selection theorems and coincidence theorems are proved on Hyperconvex spaces. As applications, some fixed point theorems and section theorems are obtained on Hyperconvex spaces.
【关键词】 超凸空间;
连续选择定理;
耦合定理;
不动点定理;
【Key words】 hyperconvex space; continuous selection theorem; coincidence theorem; fixed point theorem;
【Key words】 hyperconvex space; continuous selection theorem; coincidence theorem; fixed point theorem;
【基金】 Supported by Natural Science Foundation of Zhejiang Province(No.103098).
- 【文献出处】 数学进展 ,Advances In Mathematics , 编辑部邮箱 ,2005年05期
- 【分类号】O177.91
- 【被引频次】41
- 【下载频次】58