a1 Department of Mathematics, Yunnan University, Kunming 650091, P. R. China. email@example.com
a2 Department of Mathematics, The Chinese University of Hong Kong, Shatin, New Territory, Hong Kong. firstname.lastname@example.org
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.
(Received September 13 2008)
(Revised February 4 2009)
(Online publication June 18 2009)
Mathematics Subject Classification: