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metric subregularity

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Metric subregularity for nonclosed convex multifunctions innormed spaces
Xi Yin Zheng, Kung Fu Ng
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 16 / Issue 3 / July 2010

Published online by Cambridge University Press:

18 June 2009, pp. 601-617

Print publication:

July 2010
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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 someerror bound results for (not necessarily lower semicontinuous) convex functions on normedspaces. These results improve and extend some existing error bound results.