| 集值映射拓扑度的延拓定理 |
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| 引用本文： | 魏曙光,张谋.集值映射拓扑度的延拓定理[J].重庆大学学报(自然科学版),2004,27(6):99-101. |
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| 作者姓名： | 魏曙光 张谋 |
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| 作者单位： | 重庆大学数理学院,重庆,400030;重庆大学数理学院,重庆,400030 |
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| 摘 要： | 根据陈文原单值映射的拓扑度延拓,在Banach空间引入了一个关于Hausdorff度量的不等式.然后,利用此不等式,在Banach空间对于上半连续集值映射建立了拓扑度延拓的相关结论.
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| 关 键 词： | 集值映射 拓扑度 Banach空间 Hausdorff度量 |
| 文章编号： | 1000-582X(2004)06-0099-03 |
Extensive Theorms of Topolgical Degree for Multi-valucd Mapping |
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| WEI Shu-guang,ZHANG Mou.Extensive Theorms of Topolgical Degree for Multi-valucd Mapping[J].Journal of Chongqing University(Natural Science Edition),2004,27(6):99-101. |
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| Authors: | WEI Shu-guang ZHANG Mou |
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| Abstract: | The extension of topological degree for single-valued mapping is introduced by Chen wenyuan in \. We firstly prove an inequality for Hausdorff metric in Banach space. Then, by using the inequality, it has been established that extension of topolical degree for upper semicontinuous multi-valued mapping. |
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| Keywords: | mupli-valued mapping topological degree Banach space Hausdorff metric |
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