| 带约束向量集值优化中的二次最优性条件 |
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| 引用本文： | 刘敬华,张爱华.带约束向量集值优化中的二次最优性条件[J].五邑大学学报(自然科学版),2008,22(2):11-14. |
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| 作者姓名： | 刘敬华 张爱华 |
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| 作者单位： | 1. 湛江师范学院,数学与计算科学学院,广东湛江,524048
2. 五邑大学,数理系,广东江门,529020 |
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| 摘 要： | 考虑带约束集值向量优化中的二次最优性条件，引进了新的集值映射的二次切上导数概念，并利用这个概念给出了带约束夺件的弱有效点对，Henig有效点对，整体有效点对，产有效点对的必要条件。
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| 关 键 词： | 集值向量优化 二次切上导数 最优性条件 |
| 文章编号： | 1006-7302(2008)02-0011-04 |
| 修稿时间： | 2007年12月26 |
Second-Order Optimality Conditions in Vector Set-Valued Optimization with Constrains |
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| LIU Jing-hua,ZHANG Ai-hua.Second-Order Optimality Conditions in Vector Set-Valued Optimization with Constrains[J].Journal of Wuyi University(Natural Science Edition),2008,22(2):11-14. |
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| Authors: | LIU Jing-hua ZHANG Ai-hua |
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| Institution: | LIU Jing-hua, ZHANG Ai-hua 1 School of Mathematics and Computation, Zhanjiang Normal University, Zhanjiang 524048, China ; 2, Department of Mathematics and Physics, Wuyi University, Jiangmen 529020, China) |
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| Abstract: | In this paper, we consider the second-order optimality conditions in vector set-valued optimization and present new second-order epiderivatives for set-valued maps. By using these concepts, we give a necessary condition for a weakly efficient solutiou, a Henig efficient solution, a global efficient solution, an f-efficient solution, respectively, for vector set-valued optimization problems with constraints. |
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| Keywords: | set-valued vector optimization（SVOP） second-order epiderivatives： optimalily conditions |
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