| 抽象约束的参数向量优化问题中值映射的余切上图导数 |
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| 引用本文： | 万莉娟.抽象约束的参数向量优化问题中值映射的余切上图导数[J].高师理科学刊,2006,26(1):7-10. |
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| 作者姓名： | 万莉娟 |
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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： | 对于参数向量优化问题m ink{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Hadam ard可微的单值映射,G:W→X是一个集值映射,K Y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 余切上图导数 伪李普希兹性质 |
| 文章编号： | 1007-9831(2006)01-0007-04 |
| 修稿时间： | 2005年8月25日 |
Contingent epiderivative of the value map in parametric vector optimization problem of abstract constraint |
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| WAN Li-juan.Contingent epiderivative of the value map in parametric vector optimization problem of abstract constraint[J].Journal of Science of Teachers＇College and University,2006,26(1):7-10. |
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| Authors: | WAN Li-juan |
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| Abstract: | Consider the parametrized minimization problem mink{f(w,x)|x∈G(w)}.Wheref:W×X→Yisa Hadamard-differentiable single-valued map from the product of two normed spacesWandXto anothernormed spaceY,G:W→Xis a feasible set-valued map,andK Yis a convex closed pointed cone.A repre-sentation of contingent epiderivative of the value map is given in terms of the derivative of the objective func-tion and the contingent derivative of the constraint map. |
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| Keywords: | parametric vector optimization contingent epiderivative pseudo-Lipschitz property |
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