- Title
- Stability of error bounds for convex constraints systems in Banach spaces
- Creator
- Thera, Michel; Van Ngai, Huynh; Kruger, Alexander
- Date
- 2010
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/61715
- Identifier
- vital:5196
- Identifier
-
https://doi.org/10.1137/100782206
- Identifier
- ISSN:1052-6234
- Abstract
- This paper studies stability of error bounds for convex constraints in Banach spaces. We show that certain known sufficient conditions for local and global error bounds actually ensure error bounds for the family of functions being in a sense small perturbations of the given one. A single inequality as well as semi-infinite constraint systems are considered.; C1
- Relation
- SIAM Journal on Optimization Vol. 20, no. 6 (2010), p. 3280-3296
- Rights
- Copyright Society for Industrial and Applied Mathematics
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics; Error bounds; Hoffman constraints; Subdifferential
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