- Title
- Error bounds for vector-valued functions : Necessary and sufficient conditions
- Creator
- Bednarczuk, Ewa; Kruger, Alexander
- Date
- 2012
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/35794
- Identifier
- vital:4280
- Identifier
-
https://doi.org/10.1016/j.na.2011.05.098
- Identifier
- ISSN:0362-546X
- Abstract
- In this paper, we attempt to extend the definition and existing local error bound criteria to vector-valued functions, or more generally, to functions taking values in a normed linear space. Some new derivative-like objects (slopes and subdifferentials) are introduced and a general classification scheme of error bound criteria is presented.
- Relation
- Nonlinear Analysis, Theory, Methods and Applications Vol. 75, no. 3 (2012), p. 1124-1140; http://purl.org/au-research/grants/arc/DP110102011
- Rights
- Copyright © 2011 Elsevier Ltd. All rights reserved.
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- Error bounds; Slope; Subdifferential; Variational analysis
- Full Text
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