Holder metric regularity of set-valued maps

• 成果类型: Article
• 署名作者: Frankowska, Helene; Quincampoix, Marc
• 署名单位: Centre National de la Recherche Scientifique (CNRS); Sorbonne Universite; Universite de Bretagne Occidentale; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
• 刊物名称: MATHEMATICAL PROGRAMMING
• ISSN/ISSBN: 0025-5610
• DOI: 10.1007/s10107-010-0401-7
• 发表日期: 2012
• 页码: 333-354
• 关键词: INEQUALITIES; STABILITY; mappings

摘要

This paper is devoted to metric regularity of set-valued maps from a complete metric space to a Banach space. In particular we extend a known characterization of the regularity modulus to maps defined on reflexive spaces. The higher order metric regularity, i.e. an extension of metric regularity to Holder context, is also investigated using high order variations of set-valued maps and results of similar nature are obtained for conical metric regularity.