| 近似锥-次类凸集值优化问题严有效解的广义鞍点刻画 |
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| 引用本文： | 余国林,李永新. 近似锥-次类凸集值优化问题严有效解的广义鞍点刻画[J]. 工程数学学报, 2007, 24(6): 1117-1120 |
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| 作者姓名： | 余国林 李永新 |
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| 作者单位： | 北方民族大学信息与系统科学研究所,银川,750021;平顶山学院数学系,河南,467002 |
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| 基金项目： | 陕西省自然科学基金(2001SL03). |
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| 摘 要： | 本文研究集值优化问题严有效解的广义鞍点刻画问题。利用广义鞍点的性质和凸集分离定理,得到了广义鞍点的一个集分离性质,并且在近似锥-次类凸假设下建立了集值优化问题严有效解为广义鞍点的充分条件和必要条件。
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| 关 键 词： | 近似锥-次类凸 集值映射 严有效性 广义鞍点 |
| 文章编号： | 1005-3085（2007）06-1117-04 |
| 收稿时间： | 2005-04-18 |
| 修稿时间： | 2005-04-18 |
Generalized Saddle Point Characterization of Strictly Efficient Solutions in Nearly Cone-subconvexlike Set-valued Optimization Problems |
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| YU Guo-lin,LI Yong-xin. Generalized Saddle Point Characterization of Strictly Efficient Solutions in Nearly Cone-subconvexlike Set-valued Optimization Problems[J]. Chinese Journal of Engineering Mathematics, 2007, 24(6): 1117-1120 |
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| Authors: | YU Guo-lin LI Yong-xin |
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| Abstract: | This paper studies the characterization of strict efficient solutions in set-valued optimization by generalized saddle. By using the properties of generalized saddle points and a separation theorem,a property of generalized saddle points is proved with set separation. Moreover,under the assumption of nearly cone-subconvexlikeness,the necessary and su?cient conditions for a strictly efficient solution being a generalized saddle point in set-valued optimization problems with maps are obtained. |
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| Keywords: | nearly cone-subconvexlike set-valued map strictly e?ciency generalized saddle point |
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