| 集值映射的余切上图导数的应用 |
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| 引用本文： | 万莉娟,王焱,马占春. 集值映射的余切上图导数的应用[J]. 高师理科学刊, 2010, 30(4): 21-23. DOI: 10.3969/j.issn.1007-9831.2010.04.007 |
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| 作者姓名： | 万莉娟 王焱 马占春 |
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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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| 基金项目： | 齐齐哈尔大学青年教师科研启动支持计划项目 |
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| 摘 要： | 考虑集值优化问题minF(x)x∈A,其中:X和Y是实赋范空间;A是X的一个非空子集;KY是一个尖闭凸锥;F:A→Y是一个集值映射,借助集值映射的余切上图导数,给出了Benson真极小解和极小解的关系及取得真极小解必要的最优性条件.
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| 关 键 词： | 集值优化 余切上图导数 极小解 |
The application of contingent epiderivative of set-valued mapping |
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| WAN Li-juan,WANG Yan,MA Zhan-chun. The application of contingent epiderivative of set-valued mapping[J]. Journal of Science of Teachers＇College and University, 2010, 30(4): 21-23. DOI: 10.3969/j.issn.1007-9831.2010.04.007 |
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| Authors: | WAN Li-juan WANG Yan MA Zhan-chun |
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| Affiliation: | (School of Science,Qiqihar University,Qiqihar 161006,China) |
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| Abstract: | Researched the set-valued optimization mx∈i An F（x）where X andY be real normed spaces,Abe a nonempty subset of X,K be a convex closed pointed cone ofY,F：A →Ybe a set-valued map.With contingent epiderivative of set-valued mapping,obtained the relation of Benson proper minimal solution and minimal solution,and the necessary optimality condition of gaining proper minimal solution. |
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| Keywords: | set-valued optimization contingent epiderivative minimal solution |
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