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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, milen@fmi.uni-sofia.bg

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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