- Title
- Stability of error bounds for semi-infinite convex constraint systems
- Creator
- Van Ngai, Huynh; Kruger, Alexander; Théra, Michel
- Date
- 2010
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/68673
- Identifier
- vital:2939
- Identifier
-
https://doi.org/10.1137/090767819
- Identifier
- ISSN:1052-6234
- Abstract
- In this paper, we are concerned with the stability of the error bounds for semi-infinite convex constraint systems. Roughly speaking, the error bound of a system of inequalities is said to be stable if all its "small" perturbations admit a (local or global) error bound. We first establish subdifferential characterizations of the stability of error bounds for semi-infinite systems of convex inequalities. By applying these characterizations, we extend some results established by Azé and Corvellec [SIAM J. Optim., 12 (2002), pp. 913-927] on the sensitivity analysis of Hoffman constants to semi-infinite linear constraint systems. Copyright © 2010, Society for Industrial and Applied Mathematics.
- Publisher
- Society for Industrial and Applied Mathematics
- Relation
- SIAM Journal on Optimization Vol. 20, no. 4 (2010), p. 2080-2096
- Rights
- Copyright Society for Industrial and Applied Mathematics
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0103 Numerical and Computational Mathematics; 0102 Applied Mathematics; Error bounds; Hoffman constants; Subdifferential
- Full Text
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