Characterizations of error bounds for lower semicontinuous functions on metric spaces

被引:101
作者
Azé, D
Corvellec, JN
机构
[1] Univ Toulouse 3, UMR CNRS MIP, F-31062 Toulouse, France
[2] Univ Perpignan, Lab MANO, F-66860 Perpignan, France
关键词
error bounds; strong slope; variational principle; metric regularity;
D O I
10.1051/cocv:2004013
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Refining the variational method introduced in Aze et al. [Nonlinear Anal. 49 (2002) 643-670], we give characterizations of the existence of so-called global and local error bounds, for lower semicontinuous functions defined on complete metric spaces. We thus provide a systematic and synthetic approach to the subject, emphasizing the special case of convex functions defined on arbitrary Banach spaces (refining the abstract part of Aze and Corvellec [SIAM J. Optim. 12 (2002) 913-927], and the characterization of the local metric regularity of closed-graph multifunctions between complete metric spaces.
引用
收藏
页码:409 / 425
页数:17
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