| 集值映射的proto—导映射和函数的二阶上图导数 |
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| 引用本文： | 黄龙光.集值映射的proto—导映射和函数的二阶上图导数[J].韩山师范学院学报,1998,19(2):14-19. |
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| 作者姓名： | 黄龙光 |
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| 摘 要： | 本文研究集值映射的proto-导映射在拓扑线性空间中的存在性，凸集的支撑函数和表示函数与其二阶上图导数的联系。
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| 关 键 词： | 集值映射 proto－导映射 二阶上图导数 拓扑线性空间 存在性 支撑函数 |
Proto-derivatives of Set-valued Mapping and Second-order Epi-derivatives of Function |
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| Huang Longguang.Proto-derivatives of Set-valued Mapping and Second-order Epi-derivatives of Function[J].Journal of Hanshan Teachers College,1998,19(2):14-19. |
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| Authors: | Huang Longguang |
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| Institution: | Huang Longguang |
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| Abstract: | The proto -differentiability of set -valued mappings in topological linear space is considered in this paper. Some relationships among the support function and indicator function of a convex set and their second-order epi-derivatives are given. |
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| Keywords: | Proto-differentiability Second-order epi-derivatives Support function indicator function |
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