| 集值映射向量优化的最有性条件 |
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| 引用本文： | 朱见广.集值映射向量优化的最有性条件[J].四川理工学院学报(自然科学版),2007,20(2):12-16. |
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| 作者姓名： | 朱见广 |
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| 作者单位： | 重庆师范大学数学与计算机科学学院,重庆,400047 |
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| 摘 要： | 文章首先引进了近似锥似凸集值映射的概念,并在实拓扑向量空间中建立了近似锥似凸集值映射的择一性定理,获得了近似锥似凸集值映射向量优化问题的最有性充要条件,最后给出了对偶问题并推导了对偶定理。
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| 关 键 词： | 近似锥似凸 集值映射 最有性条件 择一性定理 对偶 |
| 文章编号： | 1673-1549(2007)02-0012-05 |
| 修稿时间： | 2006年8月30日 |
Optimality Conditions for Vector Optimization of Set-valued Maps |
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| ZHU Jian-guang.Optimality Conditions for Vector Optimization of Set-valued Maps[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2007,20(2):12-16. |
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| Authors: | ZHU Jian-guang |
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| Abstract: | In this paper the concept of nearly cone-convexlike set-valued maps is presented and a theorem of alternative for the system of nearly cone-convexlike set-valued maps is established in the real linear topological vector spaces.Necessary and sufficient optimality conditions for vector optimization problems with nearly cone-convexlike set-valued maps is obtained. |
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| Keywords: | nearly cone-convexlike set-valued maps optimality condition a theorem of alternative duality |
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