| 赋范空间中闭凸集族的正则性条件 |
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| 引用本文： | 刘祥洋. 赋范空间中闭凸集族的正则性条件[J]. 哈尔滨师范大学自然科学学报, 2009, 25(6): 31-33 |
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| 作者姓名： | 刘祥洋 |
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| 作者单位： | 东北林业大学 |
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| 基金项目： | 科技基础性工作专项专题 |
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| 摘 要： | 考虑在赋范空间中,具有非空交集的闭凸集族的正则性条件,并利用集值映射来证明在Banach空间中存在Proximinal集的集族的核非空且集族交集有界时,正则性也存在.
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| 关 键 词： | 闭凸集族 正则性 核 Proximinal集 |
The Regularity Condition of Closed Convex Sets in Normed Spaces |
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| Liu Xiangyang. The Regularity Condition of Closed Convex Sets in Normed Spaces[J]. Natural Science Journal of Harbin Normal University, 2009, 25(6): 31-33 |
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| Authors: | Liu Xiangyang |
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| Affiliation: | Liu Xiangyang (Northeast Forestry University Heilongjiang Harbin) |
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| Abstract: | In normed spaces,the regularity condition of a family of closed convex sets with nonempty intersection are considered,and in Banach space when the core of the family which exists a Proximinal set is nonempty and its intersection is bounded,then the regularity exists,which is proved by set-valued mapping. |
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| Keywords: | Closed convex sets Regularity Core Proximinal set |
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