Chain rules for linear openness in metric spaces and applications

• 成果类型: Article
• 署名作者: Durea, Marius; Strugariu, Radu
• 署名单位: Alexandru Ioan Cuza University; GH Asachi Technical University
• 刊物名称: MATHEMATICAL PROGRAMMING
• ISSN/ISSBN: 0025-5610
• DOI: 10.1007/s10107-012-0598-8
• 发表日期: 2014
• 页码: 147-176
• 关键词: regularity; THEOREM; MULTIFUNCTIONS

摘要

In this work we present a general theorem concerning chain rules for linear openness of set-valued mappings acting between metric spaces. As particular cases, we obtain classical and also some new results in this field of research, including the celebrated Lyusternik-Graves Theorem. The applications deal with the study of the well-posedness of the solution mappings associated to parametric systems. Sharp estimates for the involved regularity moduli are given.