- Title
- Metric regularity and systems of generalized equations
- Creator
- Dmitruk, Andrei; Kruger, Alexander
- Date
- 2008
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/62702
- Identifier
- vital:246
- Identifier
-
https://doi.org/10.1016/j.jmaa.2007.12.057
- Identifier
- ISSN:0022-247X
- Abstract
- The paper is devoted to a revision of the metric regularity property for mappings between metric or Banach spaces. Some new concepts are introduced: uniform metric regularity and metric multi-regularity for mappings into product spaces, when each component is perturbed independently. Regularity criteria are established based on a nonlocal version of Lyusternik-Graves theorem due to Milyutin. The criteria are applied to systems of generalized equations producing some "error bound" type estimates. © 2007 Elsevier Inc. All rights reserved.
- Publisher
- Elsevier
- Relation
- Journal of Mathematical Analysis and Applications Vol. 342, no. 2 (2008), p. 864-873
- Rights
- Copyright Elsevier
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0101 Pure Mathematics; Constraint qualification; Lyusternik-Graves theorem; Regularity; Set-valued mapping; Variational analysis
- Full Text
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