| 集值映射的广义梯度与弱有效解 |
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| 引用本文： | 阳南宁,付守贵,赵桂芝. 集值映射的广义梯度与弱有效解[J]. 常熟理工学院学报, 2007, 21(10): 35-37 |
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| 作者姓名： | 阳南宁 付守贵 赵桂芝 |
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| 作者单位： | 贵州大学理学院,数学系,贵州,贵阳,550025;贵州大学理学院,数学系,贵州,贵阳,550025;贵州大学理学院,数学系,贵州,贵阳,550025 |
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| 摘 要： | 引进了一类集值映射的广义梯度,证明了在一定条件下广义梯度的存在性,给出了集值映射优化问题一些有效解的最优条件.
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| 关 键 词： | 集值映射 弱有效解 广义梯度 集值优化 |
| 文章编号： | 1008-2794（2007）10-0035-03 |
| 收稿时间： | 2007-08-12 |
| 修稿时间： | 2007-08-12 |
Generalized Gradient Of Set-valued Mapping And Weekly Efficient Solution |
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| YANG Nan-ning,FU Shou-gui,ZHAO Gui-zhi. Generalized Gradient Of Set-valued Mapping And Weekly Efficient Solution[J]. Journal of Changshu Institute of Technology, 2007, 21(10): 35-37 |
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| Authors: | YANG Nan-ning FU Shou-gui ZHAO Gui-zhi |
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| Abstract: | A kind of Generalized Gradient Of Set-valued Mapping is introduced in this paper.Its existence is proved and the optimality conditions of some kinds of efficient solutions of set-valued optimization problems are presented in generalized gradient.This kind of Generalized Gradient Of Set-valued Mapping is used in much more areas. |
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| Keywords: | set-valued mapping weekly efficient solution generalized gradient set-valued optimization. |
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