Error bounds for systems of lower semicontinuous functions in Asplund spaces

• 成果类型: Article; Proceedings Paper
• 署名作者: van Ngai, Huynh; Thera, Michel
• 署名单位: Universite de Limoges; Centre National de la Recherche Scientifique (CNRS)
• 刊物名称: MATHEMATICAL PROGRAMMING
• ISSN/ISSBN: 0025-5610
• DOI: 10.1007/s10107-007-0121-9
• 发表日期: 2009
• 页码: 397-427
• 关键词: weak sharp minima; subdifferential calculus; optimization problems; linear regularity; metric regularity; differentiability; points

摘要

In this paper, using the Frechet subdifferential, we derive several sufficient conditions ensuring an error bound for inequality systems in Asplund spaces. As an application we obtain in the context of Banach spaces a global error bound for quadratic nonconvex inequalities and we derive necessary optimality conditions for optimization problems.