- 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
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