| 集值映射的弱余切广义梯度及应用 |
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| 引用本文： | 万莉娟,魏蕴波.集值映射的弱余切广义梯度及应用[J].齐齐哈尔大学学报(自然科学版),2006,22(3):62-64. |
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| 作者姓名： | 万莉娟 魏蕴波 |
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| 作者单位： | 齐齐哈尔大学理学院,黑龙江,齐齐哈尔,161006 |
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| 摘 要： | 给出了集值映射的弱次微分与弱余切广义梯度的关系,并且借助弱余切广义梯度得到了集值优化问题的一个最优性条件。
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| 关 键 词： | 余切上图导数 弱余切广义梯度 弱次微分 最优性条件 |
| 文章编号： | 1007-984X(2006)03-0062-03 |
| 收稿时间： | 2005-12-27 |
| 修稿时间： | 2005年12月27 |
Weak contingent generalized gradient and its application to set-valued mapping |
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| WAN Li-juan,WEI Yun-bo.Weak contingent generalized gradient and its application to set-valued mapping[J].Journal of Qiqihar University(Natural Science Edition),2006,22(3):62-64. |
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| Authors: | WAN Li-juan WEI Yun-bo |
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| Institution: | 1. Science College, Qiqihar University, Heilongjiang Qiqihar 161006 ,China |
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| Abstract: | We gave the relation of weak subdifferential and weak contingent generalized gradient of set-valued mappings,and with the weak contingent generalized gradient. We gave a optimality condition of set-valued optimization problem. |
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| Keywords: | contingent epiderivative weak contingent generalized gradient weak subdifferential optimality condition |
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