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Bαnαch空间中泛函极值的几个问题
引用本文:梁本中.Bαnαch空间中泛函极值的几个问题[J].信阳师范学院学报(自然科学版),1988(1).
作者姓名:梁本中
摘    要:本文给出了具Schauder基的Banash空间中泛函S——连续的定义,导出了定理1及2,讨论了共轭空间可分的Banach空间中的凸(凹)泛函的极值问题,得出了几个结果。

关 键 词:S——连续  可微  弱上(下)半连续  梯度算子  极值

Several Problems of Functional Extreme Value in Banach Space
Liang Benzhong.Several Problems of Functional Extreme Value in Banach Space[J].Journal of Xinyang Teachers College(Natural Science Edition),1988(1).
Authors:Liang Benzhong
Institution:Liang Benzhong
Abstract:In this paper, the definition of functional S-continuity with Shx-auder base in Banach space is given, theorem one and theorem two obtained, the problem of functional extreme value of convexes/concaves in Banach space with separable conjugate space discussed, and finally several results obtained.
Keywords:S-continuity  differentiability  weak apper/lower semicon-tinuity  gradient operator  extreme value    
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