Calmness of constraint systems with applications

• 成果类型: Article
• 署名作者: Henrion, R; Outrata, JV
• 署名单位: Leibniz Association; Weierstrass Institute for Applied Analysis & Stochastics; Czech Academy of Sciences; Institute of Information Theory & Automation of the Czech Academy of Sciences
• 刊物名称: MATHEMATICAL PROGRAMMING
• ISSN/ISSBN: 0025-5610
• DOI: 10.1007/s10107-005-0623-2
• 发表日期: 2005
• 页码: 437-464
• 关键词: lower semicontinuous functions; weak sharp minima; error-bounds; Sufficient conditions; sensitivity-analysis; metric regularity; nonsmooth; THEOREM

摘要

The paper is devoted to the analysis of the calmness property for constraint set mappings. After some general characterizations, specific results are obtained for various types of constraints, e.g., one single nonsmooth inequality, differentiable constraints modeled by polyhedral sets, finitely and infinitely many differentiable inequalities. The obtained conditions enable the detection of calmness in a number of situations, where the standard criteria (via polyhedrality or the Aubin property) do not work. Their application in the framework of generalized differential calculus is explained and illustrated by examples associated with optimization and stability issues in connection with nonlinear complementarity problems or continuity of the value-at-risk.