Banach空间中非凸广义方程的度量次正则性

Metric Subregularity of Nonconvex Generalized Equations in Banach Spaces

利用Ekeland变分原理、Clarke上导数和Clarke次微分,在一般的Banach空间中给出非凸广义方程的度量次正则性成立的充分条件,所得结果改进了相关文献中的结果.

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.