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一种带约束条件的集值映射的一致线性次正则性

Uniform Linear Subregularity of a Constraint Multifunction
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摘要 在Asplund空间中讨论了一种带约束条件的有限个集值映射的一致线性次正则性,以次微分的形式给出一个必要条件,并在次光滑的假设下,运用变分分析的方法,以该形式给出一致线性次正则性的一个充分条件. This paper studies the uniform linear subregularity of finitely constraint multifunctions in Asplund Spaces. Through variational analysis, a necessary condition is derived via subdifferentials. With this, it obtains a sufficient condition for those functions to be uniformly linear subregular under the assumption of subsmoothness.
作者 张彬彬 王传坚 靳巧花
机构地区 昆明理工大学理学院 云南大学旅游文化学院信息科学与技术系
出处 《云南民族大学学报（自然科学版）》 CAS 2012年第6期415-418,共4页 Journal of Yunnan Minzu University:Natural Sciences Edition
基金 国家自然科学基金(11161025)
关键词 极限法锥 极限次微分 次光滑 一致线性次正则 limiting normal cone limiting subdifferential subsmooth uniform linear subregular
分类号 O177.92 [理学—基础数学]
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参考文献9

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二级参考文献15

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共引文献3

云南民族大学学报（自然科学版）
2012年 第6期

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