Well-posedness and generalized metric subregularity with respect to an admissible function

被引：0
作者：
Binbin Zhang
Xiyin Zheng
机构：
[1] Kunming University of Science and Technology,School of Science
[2] Yunnan University,Department of Mathematics
来源：
Science China Mathematics | 2019年 / 62卷
关键词：
well-posedness; generalized metric subregularity; slope; 90C31; 90C25; 49J52;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the framework of complete metric spaces, this paper provides several sufficient conditions for the well-posedness with respect to an admissible function, which improves some known results on error bounds. As applications, we consider the generalized metric subregularity of a closed multifunction between two complete metric spaces with respect to an admissible function φ. Even in the special case when φ(t) = t, our results improve (or supplement) some results on error bounds in the literature.
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页码：809 / 822
页数：13
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