A general topology approach to the study of differentiability of convex functions in Banach spaces
Kenderov, P.
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Kenderov, P.
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Smajdor, Wilhelmina (1998)
Mathematica Pannonica
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Postolică, Vasile (2004)
International Journal of Mathematics and Mathematical Sciences
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Xi Yin Zheng, Kung Fu Ng (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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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 some error bound results for (not necessarily lower semicontinuous) convex functions on normed spaces. These results improve and extend some existing error bound results.
Penot, Jean-Paul, Ratsimahalo, Robert (1998)
Abstract and Applied Analysis
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