Stability of Error Bounds for Convex Constraint Systems in Banach Spaces

Authors:
Alexander Kruger;Huynh Van Ngai;Michel Théra
Affiliations:
a.kruger@ballarat.edu.au;nghiakhiem@yahoo.com;michel.thera@unilim.fr
Venue:
SIAM Journal on Optimization
Year:
2010

Citing 14
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Abstract

This paper studies stability of error bounds for convex constraint systems 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.