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Metric subregularity for nonclosed convex multifunctions innormed spaces
Published online by Cambridge University Press: 18 June 2009
Abstract
In terms of the normal cone and the coderivative, we provide some necessary and/or sufficient conditions of metric subregularity for (not necessarily closed) convex multifunctions in normed spaces. As applications, we present some error bound results for (not necessarily lower semicontinuous) convex functions on normed spaces. These results improve and extend some existing error bound results.
- Type
- Research Article
- Information
- ESAIM: Control, Optimisation and Calculus of Variations , Volume 16 , Issue 3 , July 2010 , pp. 601 - 617
- Copyright
- © EDP Sciences, SMAI, 2009
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