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Journal of Convex Analysis 11 (2004), No. 1, 179--196
Copyright Heldermann Verlag 2004

Sequential Representation Formulae for G-Subdifferential and Clarke Subdifferential in Smooth Banach Spaces

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

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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