Metric Subregularity of Nonconvex Generalized Equations in Banach Spaces

YANG Ming-ge,LIAO Kai-fang

doi:10.13718/j.cnki.xdzk.2015.09.012

Journal of Southwest University Natural Science Edition

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2015 Volume 37 Issue 9

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YANG Ming-ge,LIAO Kai-fang. Metric Subregularity of Nonconvex Generalized Equations in Banach Spaces[J]. Journal of Southwest University Natural Science Edition, 2015, 37(9). doi: 10.13718/j.cnki.xdzk.2015.09.012

Citation:

YANG Ming-ge,LIAO Kai-fang. Metric Subregularity of Nonconvex Generalized Equations in Banach Spaces[J]. Journal of Southwest University Natural Science Edition, 2015, 37(9). doi: 10.13718/j.cnki.xdzk.2015.09.012

Metric Subregularity of Nonconvex Generalized Equations in Banach Spaces

YANG Ming-ge,LIAO Kai-fang

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Abstract

Using the Ekeland variational principle ,the Clarke coderivative and the Clarke subdifferential , we give the sufficient conditions for the metric subregularity of nonconvex generalized equations in general Banach spaces .The results presented in this paper improve some corresponding results in the literature .
- Ekeland variational principle，Clarke coderivative，Clarke subdifferential，metric subregularity,
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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