| 向量集值映射的共轭对偶 |
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| 引用本文： | 盛宝怀,刘三阳.向量集值映射的共轭对偶[J].运筹学学报,2000,4(2):61-70. |
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| 作者姓名： | 盛宝怀 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,710071 |
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| 基金项目： | This research was supported by National Natural Science Foundation of Shanxi Province. |
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| 摘 要： | 借助抽象算子将共轭映射的概念的到抽象空间，引入了集值映射的共轭映射和次梯度，据此讨论了集值映射共轭对偶的全局稳定性。
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| 关 键 词： | 共轭映射 全局稳定性 共轭对偶 向量集值映射 |
| 修稿时间： | 1998-12-24 |
Consideration of Conjugate Duality in Vector Optimization Problem with Set-Valued Map |
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| BAOHUAI SHENG,SANYANG LIU.Consideration of Conjugate Duality in Vector Optimization Problem with Set-Valued Map[J].OR Transactions,2000,4(2):61-70. |
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| Authors: | BAOHUAI SHENG SANYANG LIU |
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| Institution: | BAOHUAI SHENG
,SANYANG LIU
(Department of Applied Mathematics, Xidian University, Xi'an 710071, China) |
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| Abstract: | The concept of the conjugate map of a set-valued map is extended to an abstract space with the help of the set of operators, with which the concept of biconjugate map and subgradient of a set-valued map is introduced, their properties are studied. Finally, under the assumption of convexity, the global stability of the conjugate duality map of a set-valued map is studied. |
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| Keywords: | Set-valued map Conjugate map Conjugate duality |
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