| 拓扑向量空间中多目标优化问题的广义鞍点条件 |
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| 引用本文： | 余国林,刘三阳.拓扑向量空间中多目标优化问题的广义鞍点条件[J].西安电子科技大学学报,2006,33(3):491-494. |
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| 作者姓名： | 余国林 刘三阳 |
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| 作者单位： | [1]西安电子科技大学理学院,陕西西安710071 [2]西北第二民族学院信计系,宁夏银川750021 |
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| 摘 要： | 针对多目标优化问题的鞍点在理论和应用中的重要性．引进了一种新的广义鞍点。并指出其他几类鞍点为其特殊形式．利用锥的性质得到了多目标优化问题的广义鞍点的判别条件和一些性质．
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| 关 键 词： | 多目标优化 锥 广义鞍点 G(a)teaux可微 |
| 文章编号： | 1001-2400（2006）03-0491-04 |
| 收稿时间： | 2005-06-19 |
| 修稿时间： | 2005-06-19 |
The condition for generalized saddle points for multiobjective optimization problems in topological vector space |
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| YU Guo-lin,LIU San-yang.The condition for generalized saddle points for multiobjective optimization problems in topological vector space[J].Journal of Xidian University,2006,33(3):491-494. |
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| Authors: | YU Guo-lin LIU San-yang |
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| Affiliation: | (1) School of Science, Xidian Univ., Xi′an 710071， China;(2) The Second Northwest Inst. Ethnic Minority, Yinchuan 750021， China |
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| Abstract: | Based on the importance of saddle points in theory and application for multiobjective optimization problems, this paper introduces a new kind of generalized saddle points and points out that other saddle points belong to a special case. By using the properties of a cone, the discriminant condition and some properties of generalized saddle points are obtained. |
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| Keywords: | multiobjective optimization cone generalized saddle points Gateaux differentiable |
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