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

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2019,（4）
• 页码范围: 809-822
• 页数: 14页
• 语种: 英文

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.