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约束条件映射的度量次正则性

The metric subregularity of constraint multifunctions
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摘要 将有限维空间中一种约束集值映射度量次正则性的一个必要条件推广到Asplund空间中,并在subs-mooth假设下,运用变分分析的方法,以法锥的形式在Asplund空间中给出了该约束集值映射度量次正则性的一个充分条件. This paper extended a necessary condition for metric subregularity of constraint multifunctions from finite dimensions to Asplund spaces,and in the same time,using variational technique,it provided a sufficient condition via normal cones for the metric subregularity of constraint multifunctions under the subsmooth hypothesis.
作者 张彬彬 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 《苏州大学学报（自然科学版）》 CAS 2012年第4期9-12,共4页 Journal of Soochow University(Natural Science Edition)
基金 国家自然科学基金(11161025)
关键词 极限法锥 极限次微分 subsmooth 度量次正则性 limiting normal cone limiting subdifferential subsmooth metrically 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

苏州大学学报（自然科学版）
2012年 第4期

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