| 关于集值化Benson真有效解的最优性条件的注记 |
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| 引用本文： | 陈彦,李进馨.关于集值化Benson真有效解的最优性条件的注记[J].哈尔滨师范大学自然科学学报,2005,21(6):20-23. |
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| 作者姓名： | 陈彦 李进馨 |
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| 作者单位： | 淮海工学院;哈尔滨师范大学 |
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| 摘 要： | 本文给出一个反例说明文献1]中的主要结果即定理2．1和定理2．2是错误的，进而说明该文中的定理2．3的证明不正确；然后给出定理2．3的一个正确的证明．同时指出文献1]中的对偶定理3．4是不正确的．
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| 关 键 词： | 集值映射 Benson真有效解 最优性条件 对偶 |
| 收稿时间： | 2005-08-11 |
| 修稿时间： | 2005年8月11日 |
A NOTE ON HE OPTIMALITY CONDITIONS FOR BENSON PROPER EFFICIENCY OF SET- VALUED OPTIMIZATION |
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| Chen Yan,Li Jinxin.A NOTE ON HE OPTIMALITY CONDITIONS FOR BENSON PROPER EFFICIENCY OF SET- VALUED OPTIMIZATION[J].Natural Science Journal of Harbin Normal University,2005,21(6):20-23. |
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| Authors: | Chen Yan Li Jinxin |
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| Institution: | 1. Huaihai Institute of Technology;2. Harbin Normal University |
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| Abstract: | In this note, we fist give a counterexample to show that Theorem 2.1 and Theorem 2.2 in the 1 ] of ref- erences are not corrected, and further show that the proof of Theorem 2.3 of 1 ] is not corrected, and then give a correct proof of Theorem 2.3 of 1 ]. Meanwhile, we also point out that Theorem 3.4 of 1 ] is not true. |
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| Keywords: | Set - valued map Benson proper efficiency Optimality condition Duality |
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