- Title
- Perturbation of error bounds
- Creator
- Kruger, Alexander; López, Marco; Théra, Michel
- Date
- 2018
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/164102
- Identifier
- vital:13008
- Identifier
-
https://doi.org/10.1007/s10107-017-1129-4
- Identifier
- ISBN:0025-5610
- Abstract
- Our aim in the current article is to extend the developments in Kruger et al. (SIAM J Optim 20(6):3280–3296, 2010. doi:10.1137/100782206) and, more precisely, to characterize, in the Banach space setting, the stability of the local and global error bound property of inequalities determined by lower semicontinuous functions under data perturbations. We propose new concepts of (arbitrary, convex and linear) perturbations of the given function defining the system under consideration, which turn out to be a useful tool in our analysis. The characterizations of error bounds for families of perturbations can be interpreted as estimates of the ‘radius of error bounds’. The definitions and characterizations are illustrated by examples. © 2017, Springer-Verlag Berlin Heidelberg and Mathematical Optimization Society.
- Publisher
- Springer Verlag
- Relation
- Mathematical Programming Vol. 168, no. 1-2 (2018), p. 533-554; http://purl.org/au-research/grants/arc/DP160100854
- Rights
- Copyright © 2017, Springer-Verlag Berlin Heidelberg and Mathematical Optimization Society.
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics; 0802 Computation Theory and Mathematics; Error bound; Feasibility problem; Metric regularity; Metric subregularity; Perturbation; Subdifferential
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