Extensions of metric regularity

Title: Extensions of metric regularity
Creator: Dmitruk, Andrei; Kruger, Alexander
Date: 2009
Type: Text; Journal article
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/62470
Identifier: vital:2131
Identifier: https://doi.org/10.1080/02331930902928674
Identifier: ISSN:0233-1934
Abstract: This article is devoted to some extensions of the metric regularity property for mappings between metric or Banach spaces. Several new concepts are investigated in a unified manner: uniform metric regularity, metric regularity along a subspace, metric multi-regularity for mappings into product spaces (when each component is perturbed independently), as well as their Lipschitz-like counterparts. The properties are characterized in terms of certain derivative-like constants. Regularity criteria are established based on a set-valued extension of a nonlocal version of the Lyusternik-Graves theorem due to Milyutin.
Relation: Optimization Vol. 58, no. 5 (2009), p. 561-584
Rights: Copyright Taylor & Francis
Rights: This metadata is freely available under a CCO license
Subject: Variational analysis; Lyusternik-Graves theorem; Metric regularity; Set-valued mapping
Reviewed

		Thumbnail	File	Description	Size	Format