Uniform Regularity of Set-Valued Mappings and Stability of Implicit Multifunctions

Autor:	Cuong, Nguyen Duy, Kruger, Alexander Y.
Rok vydání:	2020
Předmět:	Mathematics - Optimization and Control
Zdroj:	Journal of Nonsmooth Analysis and Optimization, Volume 2, Original research articles (June 22, 2021) jnsao:6599
Druh dokumentu:	Working Paper
DOI:	10.46298/jnsao-2021-6599
Popis:	We propose a unifying general (i.e. not assuming the mapping to have any particular structure) view on the theory of regularity and clarify the relationships between the existing primal and dual quantitative sufficient and necessary conditions including their hierarchy. We expose the typical sequence of regularity assertions, often hidden in the proofs, and the roles of the assumptions involved in the assertions, in particular, on the underlying space: general metric, normed, Banach or Asplund. As a consequence, we formulate primal and dual conditions for the stability properties of solution mappings to inclusions Comment: 24 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2001.07609 Zobrazit plný text záznamu View this record from Arxiv