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Metric subregularity for nonclosed convex multifunctions innormed spaces

Published online by Cambridge University Press:  18 June 2009

Xi Yin Zheng  and
Kung Fu Ng
Xi Yin Zheng
Affiliation:
Department of Mathematics, Yunnan University, Kunming 650091, P. R. China. xyzheng@ynu.edu.cn
Kung Fu Ng
Affiliation:
Department of Mathematics, The Chinese University of Hong Kong, Shatin, New Territory, Hong Kong. kfng@math.cuhk.edu.hk
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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 some error bound results for (not necessarily lower semicontinuous) convex functions on normed spaces. These results improve and extend some existing error bound results.

Keywords

Metric subregularitymultifunctionnormal conecoderivative
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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