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次微分的可变分研究
引用本文:侯慧慧,何中全.次微分的可变分研究[J].周口师范学院学报,2012,29(5):32-34.
作者姓名:侯慧慧  何中全
作者单位:西华师范大学数学与信息学院,四川南充,637000
基金项目:四川省教育厅重点课题基金资助项目(No.08ZA159)
摘    要:研究了Banach空间中下半连续函数的Frechet次微分、Proximel次微分、Q-次微分和E-次微分,得到了这些次微分是可变分的一些充分条件.其结果改进和推广了相关的一些研究结果.

关 键 词:Frechet次微分  Proximel次微分  Q-次微分  E-次微分  变分型

Variational study on the subdifferentiations
HOU Huihui,HE Zhongquan.Variational study on the subdifferentiations[J].Journal of Zhoukou Normal University,2012,29(5):32-34.
Authors:HOU Huihui  HE Zhongquan
Institution:(School of Mathematics and Information,China West Normal University,Nanchong 637000,China)
Abstract:In this paper,subdifferentiations of Frechet,Proximel and Q-subdifferentiations and E-subdifferentiations in Banach spaces are studied.It is obtained that some sufficient conditions about the subdifferentiations are variational.The present results improve and extend some known results in the literature.
Keywords:Frechet subdifferential  Proximel subdifferential  Q-subdifferential  E-subdifferential  variational
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