Stability of error bounds for convex constraints systems in Banach spaces

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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