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非自反Banach空间中的Lagrange型凸泛函

Lagrange Convex Functional in Non-reflexive Banach Space
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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. 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.
作者 龚丽燕 张秋园
机构地区 广东工业大学应用数学学院
出处 《广东工业大学学报》 CAS 2016年第1期73-76,共4页 Journal of Guangdong University of Technology
关键词 非自反Banach空间 弱＊下半连续 凸泛函 non-reflexive Banach space weak ＊ lower semi-continuous convex functional
分类号 O177.91 [理学—基础数学]
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参考文献14

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广东工业大学学报
2016年 第1期

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