| 代数类锥内凸集值映照的向量优化问题及其标量化 |
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| 引用本文： | 郝媛.代数类锥内凸集值映照的向量优化问题及其标量化[J].苏州大学学报(医学版),2007,23(2):14-18,25. |
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| 作者姓名： | 郝媛 |
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| 作者单位： | 苏州大学数学科学学院,江苏苏州215006 |
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| 摘 要： | 利用线性空间中的Hahn-Banach分离定理,我们建立了关于代数类锥内凸集值映照得一个选择定理,进而我们获得了关于这种集值映照的弱有效解和有效解的标量化定理.
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| 关 键 词： | 代数内部 代数类锥内凸集值映照 弱有效点 有效点 选择定理 |
| 文章编号： | 1000-2073（2007）02-0014-05 |
| 收稿时间： | 2006-07-26 |
| 修稿时间： | 2006-07-26 |
Vector optimization problems for algebraically ic-cone-convexlike set-valued maps and their scalarization |
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| Hao Yuan.Vector optimization problems for algebraically ic-cone-convexlike set-valued maps and their scalarization[J].Journal of Suzhou University(Natural Science),2007,23(2):14-18,25. |
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| Authors: | Hao Yuan |
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| Institution: | School of Mathematic Science, Suzhou Univ. , Suzhou 215006, China |
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| Abstract: | Using Hahn-Banach separation theorem in liner spaces,we establish an alternative theorem for ic-cone-convexlike set-valued maps.Then we obtain the scalarization theorems for weakly efficient points and efficient points of such set-valued maps. |
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| Keywords: | algebraic interior algebraically ic-cone-convexlike set-valued map weakly efficient point efficientpoint alternative theorem |
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