| 集值向量优化问题超有效点的广义鞍点刻画 |
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| 引用本文： | 余国林,刘三阳.集值向量优化问题超有效点的广义鞍点刻画[J].西北大学学报,2007,37(2):179-182. |
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| 作者姓名： | 余国林 刘三阳 |
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| 作者单位： | 西安电子科技大学应用数学系，西安电子科技大学应用数学系 陕西西安710071，北方民族大学应用数学系，宁夏银川750021，陕西西安710071 |
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| 摘 要： | 目的研究局部凸空间中集值优化超有效解与鞍点之间的关系问题。方法通过广义鞍点的性质并结合择一定理,得到有关充分条件和必要条件。结果得到广义鞍点的一个锥分离性质,并且建立了近似锥-次类凸集值向量优化问题超有效解为广义鞍点的条件。结论其结果深化和丰富了最优化理论的内容。
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| 关 键 词： | 近似锥-次类凸 集值映射 超有效性 广义鞍点 |
| 文章编号： | 1000-274X（2007）02-0179-04 |
| 修稿时间： | 2005-11-04 |
Super efficient point in vector optimization problems with set-valued maps characterized by generalized saddle point |
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| YU Guo-lin,LIU San-yang.Super efficient point in vector optimization problems with set-valued maps characterized by generalized saddle point[J].Journal of Northwest University(Natural Science Edition),2007,37(2):179-182. |
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| Authors: | YU Guo-lin LIU San-yang |
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| Abstract: | Aim In locally convex spaces,to study the relationships between the super efficient solution and generalized saddle point.Methods Using the properties of saddle point and alternative theorem,the sufficient and necessary conditions of a super efficient point being a generalized saddle point are obtained.Results The property of generalized saddle point with cone separation was prved and the conditions of super efficient solutions being the generalized saddle point in the nearly cone-subconvexlike vector optimization problems were set up with set-valued maps.Conclusion These results deepen and enrich the content of optimization theory. |
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| Keywords: | nearly cone-subconvexlike set-valued map super efficiency generalized saddle point |
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