| 非自反Banach空间中的Lagrange型凸泛函 |
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| 引用本文： | 龚丽燕,张秋园.非自反Banach空间中的Lagrange型凸泛函[J].广东工业大学学报,2016,33(1):73-76. |
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| 作者姓名： | 龚丽燕 张秋园 |
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| 作者单位： | 广东工业大学 应用数学学院，广东 广州 510520 |
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| 摘 要： | 在非自反Banach空间X中讨论了Lagrange型凸泛函及其对偶的一些性质.引入了两个广义次微分概念，进一步研究了它们之间的关系，并指出了非自反Banach空间中的Lagrange型凸泛函具有B自对偶性.
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| 关 键 词： | 非自反Banach空间 弱*下半连续 凸泛函 |
| 收稿时间： | 2014-05-29 |
Lagrange Convex Functional in Non-reflexive Banach Space |
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| GONG Li-Yan,ZHANG Qiu-Yuan.Lagrange Convex Functional in Non-reflexive Banach Space[J].Journal of Guangdong University of Technology,2016,33(1):73-76. |
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| Authors: | GONG Li-Yan ZHANG Qiu-Yuan |
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| Affiliation: | School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China |
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| Abstract: | This paper discusses the Lagrange convex functional and the duality property in non-reflexive Banach space. In the discussion, two concepts about generalized subdifferential have been introduced and their relationship has been studied. Also it is pointed out that the Lagrange convex functional has the B-self-dual property. |
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| Keywords: | non-reflexive Banach space weak*lower semi-continuous convex functional |
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