| 序空间中向量值映射极小元的存在性 |
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| 引用本文： | 张秋园,龚丽燕.序空间中向量值映射极小元的存在性[J].广东工业大学学报,2015,32(4):123-126. |
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| 作者姓名： | 张秋园 龚丽燕 |
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| 作者单位： | 广东工业大学 应用数学学院，广东 广州 510520 |
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| 摘 要： | 在序空间中讨论了锥上方下半连续的向量值映射的极小元的存在性，得到了这类映射存在极小元和最小元的两个结果，并对H.W.Corley提出的锥半紧集，指出了锥半紧集不一定是闭集.
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| 关 键 词： | 向量值映射 锥 极小元 锥上方下半连续映射 |
| 收稿时间： | 2014-05-19 |
On Existence of Minimal Elements of Vector-valued Functions in Ordered Space |
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| ZHANG Qiu-Yuan,GONG Li-Yan.On Existence of Minimal Elements of Vector-valued Functions in Ordered Space[J].Journal of Guangdong University of Technology,2015,32(4):123-126. |
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| Authors: | ZHANG Qiu-Yuan GONG Li-Yan |
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| Affiliation: | School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China |
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| Abstract: | This article discusses the existence of minimal elements of cone lower semi-continuous mapping in ordered space. The researchers obtain two results on the existence of minimal elements and the smallest elements of such functions. It also points out that a cone-semicompact set raised by H.W.Corley is not a necessarily closed set. |
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| Keywords: | vector-valued function cone minimal element cone lower semi-continuous from above functions |
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