Estimation of the modulus of Hölder metric regularity
type: Item
instance of: scholarly article
title: Estimation of the modulus of Hölder metric regularity
zbMATH Open document ID: 1498.49028
DOI: 10.1134/S0016266322020071
author: Wending Xu
publication date: 2022-10-12T00:00:00Z
review text: The author introduces the concepts of a generalized \(p\)-order Clarke-like set and a generalized \(p\)-order graphical derivative of a set-valued operator. These notions are used to estimate its modulus of Hölder metric regularity. The main result says that this modulus is bounded above by the upper limit of the inner norm of the inverse of the generalized graphical derivative.
reviewed by: Radu I. Boţ
Mathematics Subject Classification ID: 49J53
zbMATH DE Number: 7599896
zbMATH Keywords: Hölder metric regularity
zbMATH Keywords: generalized \(p\)th-order Clarke-like set
zbMATH Keywords: generalized graphical derivative
zbMATH Keywords: \(p\)th variation
MaRDI profile type: Publication
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full work available at URL: s0016266322020071
OpenAlex ID: W4312995041
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 7599896