| 集值映射的连续锥选择及其存在性 |
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| 引用本文： | 夏顺友,胥德平,向淑文.集值映射的连续锥选择及其存在性[J].贵州教育学院学报,2008,24(9):1-3. |
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| 作者姓名： | 夏顺友 胥德平 向淑文 |
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| 作者单位： | 贵州教育学院数学与计算机科学系，成都理工大学信息管理学院，贵州大学理学院 |
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| 摘 要： | 引入集值映射的锥选择及连续锥选择概念，给出了集值映射连续锥选择的存在性条件以及锥下半连续集值映射的逼近连续锥选择的存在性条件。
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| 关 键 词： | 连续锥选择 锥下半连续 开覆盖 单位分解 |
The continuous cone selection concept and its existence for some class of set-valued maps |
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| XIA Shun-you,XU De-ping,XIANG Shu-wen.The continuous cone selection concept and its existence for some class of set-valued maps[J].Journal of Guizhou Educational College(Social Science Edition),2008,24(9):1-3. |
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| Authors: | XIA Shun-you XU De-ping XIANG Shu-wen |
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| Institution: | XIA Shun-you, XU De-ping ,XIANG Shu-wen ( 1. Department of Mathematics and Computer , Guizhou Education Institute, Guiyang, Guizhou ,550003 China; 2. College of Information Management, Chengdu University of Technology, Chengdu, Sichuan,610059 China; 3. College of Science, Guizhou University , Guiyang, Guizhou,550025 China) |
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| Abstract: | This paper introduces a concept of continuous cone selection for set-valued maps.It proves that for some cone-convex-valued maps with some open inverse value property,there exists a continuous cone selection,and an approximately continuous cone selection for some cone lower semi-continuous maps |
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| Keywords: | (approximately) continuous cone selection cone-lower-semi-continuity open cover partition of unity |
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