| 向量优化中值映射的余切上图导数的一个表示 |
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| 引用本文： | 万莉娟,王晓霞,高艳林.向量优化中值映射的余切上图导数的一个表示[J].高师理科学刊,2007,27(3):7-8,11. |
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| 作者姓名： | 万莉娟 王晓霞 高艳林 |
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| 作者单位： | 1. 齐齐哈尔大学,理学院,黑龙江,齐齐哈尔,161006
2. 齐齐哈尔市第15中学,黑龙江,齐齐哈尔,161005 |
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| 摘 要： | 对于参数向量优化问题minK{f(w,x)|x∈G(w)},其中f:W×X→Y是从赋范空间W和X的积到另一个赋范空间Y的Hadamard可微的单值映射,G:W→X是一个集值映射,KY是一个尖闭凸锥.借助目标函数的导数和约束映射的余切导数,给出了值映射的余切上图导数的一个表示.
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| 关 键 词： | 参数向量优化 值映射 余切上图导数 |
| 文章编号： | 1007-9831（2007）03-0007-03 |
| 收稿时间： | 2006-11-02 |
| 修稿时间： | 2006-11-02 |
A representation of contingent epiderivative of the value map in vector optimization |
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| WAN Li-juan,WANG Xiao-xia,GAO Yan-lin.A representation of contingent epiderivative of the value map in vector optimization[J].Journal of Science of Teachers＇College and University,2007,27(3):7-8,11. |
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| Authors: | WAN Li-juan WANG Xiao-xia GAO Yan-lin |
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| Abstract: | Considered the parametrized minimization problem min K {f(w,x)|x∈ G(w)},where f : W×X→Yis a Hadamard-differentiable single-valued map from the product of two normed spacesW and X to another normed spaceY , G : W→Xis a feasible set-valued map,and KY is a convex closed pointed cone.A representation of contingent epiderivative of the value map was given in terms of the derivative of the objective function and the contingent derivative of the constraint map. |
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| Keywords: | parametric vector optimization value map contingent epiderivative |
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