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Metric subregularity for nonclosed convex multifunctions innormed spaces

Published online by Cambridge University Press:  18 June 2009

Xi Yin Zheng
Affiliation:
Department of Mathematics, Yunnan University, Kunming 650091, P. R. China. [email protected]
Kung Fu Ng
Affiliation:
Department of Mathematics, The Chinese University of Hong Kong, Shatin, New Territory, Hong Kong. [email protected]
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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 someerror bound results for (not necessarily lower semicontinuous) convex functions on normedspaces. These results improve and extend some existing error bound results.

Type
Research Article
Copyright
© EDP Sciences, SMAI, 2009

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