Abstract

We extend to smooth Banach spaces the proximal formula for Clarke subdifferential of lower semicontinuous function. In the process we also extend the representation of G-subdifferential and the singular G-subdifferential in terms of sequential limits of smooth subdifferentials of controlled rank

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Milen Ivanov

Section of Real Analysis, Dept. of Mathematics, Sofia University, 5 James Bourchier blvd.,
1164 Sofia, Bulgaria

milen@fmi.uni-sofia.bg

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Suggested citation

M. Ivanov. “Sequential Representation Formulae for G-Subdifferential and Clarke Subdifferential in Smooth Banach Spaces.” Journal of Convex Analysis 11 (2004), No. 1, 179–196. https://doi.org/10.68381/jca11012

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Published by Heldermann Verlag, 2004. Rights now held by Banach Press LLC.