| 基于集值映射的非负Lebesgue可积函数的重心选择 |
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| 引用本文： | 焦玉兰,唐风军.基于集值映射的非负Lebesgue可积函数的重心选择[J].河南师范大学学报(自然科学版),2009,37(5). |
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| 作者姓名： | 焦玉兰 唐风军 |
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| 作者单位： | 解放军信息工程大学,理学院数理系,郑州,450001 |
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| 摘 要： | 首先给出了集值映射的非负Lebesgue可积函数相关的重心选择的定义,然后对重心选择的各种性质进行了讨论,在此基础上,把重心选择方法扩展到更一般的形式上,对于任意r∈R+给出了具有紧凸像的集值映射F的一个Lipschitz选择,证明了性质.
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| 关 键 词： | 重心选择 集值映射 紧凸集 Lipschitz条件 |
The Barycentric Selection on Non-negative Lebesgue Integrable Function of Set-valued Map |
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| JIAO Yu-lan,TANG Feng-jun.The Barycentric Selection on Non-negative Lebesgue Integrable Function of Set-valued Map[J].Journal of Henan Normal University(Natural Science),2009,37(5). |
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| Authors: | JIAO Yu-lan TANG Feng-jun |
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| Abstract: | The definitions of the barycentric selection on non-negative integrable function of the set-valued map are introduced.Some properties of the barycentric selection are discussed.On this basis,the barycentric selection are expanded to the generalized form: for the arbitrary r∈R+,a Lipschitz selection of set-valued map with compact convex images is given,and its properties are proved. |
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| Keywords: | barycentric selection set-valued map compact convex Lipschitzean |
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