| 拓扑向量空间集值映射的锥有效次微分及其存在性 |
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| 引用本文： | 胡毓达,孟志青.拓扑向量空间集值映射的锥有效次微分及其存在性[J].上海交通大学学报,2000,34(8):1115-1118. |
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| 作者姓名： | 胡毓达 孟志青 |
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| 作者单位： | 1. 温州大学,数学与信息科学学院,温州,325027
2. 湘潭大学,计算机科学系,湘潭,411105 |
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| 基金项目： | 国家自然科学基金资助项目! (1 9471 0 5 4)，湖南省教委科研基金 |
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| 摘 要： | 对序拓扑向量空间中一般（非凸）集值映射，引进一种新的锥有效方向导数和锥有效次微分的概念，利用有效Ｈａｈｎ－Ｂａｎａｃｈ定理，证明了它们的存在性定量，同时，还讨论了它们的有关性质。
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| 关 键 词： | 集值映射 有效次微分 拓扑向量空间 凸锥 |
Cone Efficient Subdifferential and Its Existence of Set-Valued Mapping in Topological Vector Spaces |
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| HU Yu-da,MENG Zhi-qing.Cone Efficient Subdifferential and Its Existence of Set-Valued Mapping in Topological Vector Spaces[J].Journal of Shanghai Jiaotong University,2000,34(8):1115-1118. |
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| Authors: | HU Yu-da MENG Zhi-qing |
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| Abstract: | The set- valued mapping is an essential concept in modern analysis.The concepts of cone- effi- cient directional derivative and cone- efficient subdifferential for general( nonconvex) set- valued mapping were introduced in topological vector space.With the help of efficient Hahn- Banach theorem,their exis- tence theorem was proved,and several properties were studied. |
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| Keywords: | set- valued mapping cone- efficient directional derivative cone- efficient subdifferential |
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