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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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