Nonlinear error bounds for lower semicontinuous functions on metric spaces

• 成果类型: Article
• 署名作者: Corvellec, Jean-Noel; Motreanu, Viorica V.
• 署名单位: Universite Perpignan Via Domitia
• 刊物名称: MATHEMATICAL PROGRAMMING
• ISSN/ISSBN: 0025-5610
• DOI: 10.1007/s10107-007-0102-z
• 发表日期: 2008
• 页码: 291-319
• 关键词: critical-point theory; STABILITY; REGULARITY

摘要

As a development of the theory of linear error bounds for lower semicontinuous functions defined on complete metric spaces, introduced in Aze et al. (Nonlinear Anal 49, 643-670, 2002) and refined in Aze and Corvellec (ESAIM Control Optim Calc Var 10, 409-425, 2004), we propose a similar approach to nonlinear error bounds, based on the notion of strong slope, the variational principle, and the change-of-metric principle, the latter allowing to obtain sharp estimates for such error bounds through a reduction to the linear case.