| 集值优化问题的强有效解与Kuhn-Tucker鞍点 |
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| 引用本文： | 王其林.集值优化问题的强有效解与Kuhn-Tucker鞍点[J].应用泛函分析学报,2007,9(2):176-179. |
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| 作者姓名： | 王其林 |
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| 作者单位： | 重庆交通大学,理学院,重庆,400074 |
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| 基金项目： | 重庆交通大学校科研和教改项目 |
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| 摘 要： | 首先在局部凸Hausdorff拓扑向量空间中定义了集值优化问题的Kuhn-Tucker鞍点,在近似锥-次类凸集值映射下,讨论了集值优化问题的强有效解与Kuhn-Tucker鞍点之间的关系.
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| 关 键 词： | 集值优化问题 近似锥-次似凸集值映射 强有效解 Kuhn-Tucker鞍点 |
| 文章编号： | 1009-1327(2007)02-0176-04 |
| 修稿时间： | 2006年3月22日 |
Strong Efficient Solutions and Kuhn-Tucker Saddle Point of the Set-valued Optimization Problems |
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| WANG Qi-lin.Strong Efficient Solutions and Kuhn-Tucker Saddle Point of the Set-valued Optimization Problems[J].Acta Analysis Functionalis Applicata,2007,9(2):176-179. |
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| Authors: | WANG Qi-lin |
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| Institution: | College of Sciences, Chongqing Jiaotong University, Chongqing 400074, China |
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| Abstract: | In locally convex Hausdorff topological vector spaces,Kuhn-Tucker saddle point for the set-valued optimization are introduced.Under the nearly cone-subconvexlike set-valued maps,relations of strong efficient solutions and Kuhn-Tucker saddle point of set-valued optimization problem are dicussed. |
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| Keywords: | set-valued optimization problem the nearly cone-subconvexlike set-valued maps strong efficient solutions Kuhn-Tucker saddle point |
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