| 赋范线性空间集合的严有效点 |
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| 引用本文： | 傅万涛. 赋范线性空间集合的严有效点[J]. 系统科学与数学, 1997, 17(4): 324-329 |
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| 作者姓名： | 傅万涛 |
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| 作者单位： | 南昌大学数学系 南昌，330047 |
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| 摘 要： | 本文引入一个新的有效点概念一严有效点,它是Borwein超有效点的推广.此外还讨论了严有效点的基本性质:存在性条件、纯量化特征、稠密性定理以及与Borwein超有效点的关系.
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| 关 键 词： | 序锥的基 Borwein超有效点 严有效点 |
ON STRICTLY EFFICIENT POINTS OF A SET IN A NORMED LINEAR SPACE |
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| Fu Wantao. ON STRICTLY EFFICIENT POINTS OF A SET IN A NORMED LINEAR SPACE[J]. Journal of Systems Science and Mathematical Sciences, 1997, 17(4): 324-329 |
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| Authors: | Fu Wantao |
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| Affiliation: | Department of Mathematics, Nanchang University, Nanchang 330047) |
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| Abstract: | in this paper, we introduce a new concept, the strictly efficient point, in vector optimization in Banach spaces. This concept is shown to have many desirable properties and to be an extension of the super efficient point in Borwein's sense. Particularly, we show that in reasonable settings the strictly efficient points of a set are dense in the efficient points. |
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| Keywords: | Base of ordered cones Borwein super efficient points strictly efficient points |
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