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| Banach空间上凸函数项级数 | |
| 引用本文： | 郑喜印.Banach空间上凸函数项级数[J].数学学报,1998,41(1):19-28. |
| 作者姓名： | 郑喜印 |
| 作者单位： | 云南大学数学系 |
| 基金项目： | 云南省应用基础研究项目 |
| 摘 要： | 本文研究了Ｂａｎａｃｈ空间上凸函数项级数，给出了Ｍｏｒｅａｕ Ｒｏｃｋａｆｅｌａｒ定理的推广，做为它的应用，获得了Ｋｕｈｎ Ｔｕｃｋｅｒ定理的一个部分推广． |
| 关 键 词： | 点点收敛，局部一致收敛，次微分，Moreau-Rockafellar定理，Kuhn-Tucker定理 |
| 收稿时间： | 1995-11-10 |
The Series of Convex Functions |
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| Zheng Xiyin.The Series of Convex Functions[J].Acta Mathematica Sinica,1998,41(1):19-28. | |
| Authors: | Zheng Xiyin |
| Institution: | Zheng Xiyin (Department of Mathematics, Yunnan University, Kunming 650091, China) |
| Abstract: | The series of convex functions on a Banach space is studied. The generalizations of the Moreau Rockafellar theorem are given. As an application, the partial generalization of the Kuhn Tucker theorem is obtained. |
| Keywords: | Pointwise convergence Locally uniform convergence Subdifferential Moreau Rockafellar theorem Kuhn Tucker theorem |
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