Implicit multifunction theorems in complete metric spaces

• 成果类型: Article
• 署名作者: Van Ngai Huynh; Huu Tron Nguyen; Thera, Michel
• 署名单位: Centre National de la Recherche Scientifique (CNRS); Universite de Limoges
• 刊物名称: MATHEMATICAL PROGRAMMING
• ISSN/ISSBN: 0025-5610
• DOI: 10.1007/s10107-013-0673-9
• 发表日期: 2013
• 页码: 301-326
• 关键词: lower semicontinuous functions; error-bounds; Sufficient conditions; REGULARITY; mappings; approximations; STABILITY; openness

摘要

In this paper, we establish some new characterizations of metric regularity of implicit multifunctions in complete metric spaces by using lower semicontinuous envelopes of the distance functions to set-valued mappings. Through these new characterizations it is possible to investigate implicit multifunction theorems based on coderivatives and on contingent derivatives as well as the perturbation stability of implicit multifunctions.