| 关于真有效点集的连通性 |
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| 引用本文： | 仇秋生.关于真有效点集的连通性[J].高校应用数学学报(A辑),1999,14(3):329-332. |
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| 作者姓名： | 仇秋生 |
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| 作者单位： | 五邑大学数学物理系 |
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| 摘 要： | 在局部有界的Ｈａｕｓｄｏｒｆｆ局部凸空间中讨论了集合的真有效点集的连通性问题。证明了当序锥具有基底时，任何非空紧凸集的真有效点集是连通的。
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| 关 键 词： | 真有效点 连通性 基底 |
CONNECTEDNESS OF PROPER EFFICIENT POINT SET |
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| Qiu Qiusheng.CONNECTEDNESS OF PROPER EFFICIENT POINT SET[J].Applied Mathematics A Journal of Chinese Universities,1999,14(3):329-332. |
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| Authors: | Qiu Qiusheng |
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| Abstract: | In this paper, the connectedness of
proper efficient point set in a locally bounded Hausdorff locally convex space is discussed. It is
proved that the proper efficient point set of a nonempty compact convex set is connected when a
closed convex cone is with a base. |
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| Keywords: | Proper Efficient Point Connectedness Base |
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