Journal of convex analysis, Tome 11 (2004) no. 1, pp. 179-196
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M. Ivanov. Sequential Representation Formulae for G-Subdifferential and Clarke Subdifferential in Smooth Banach Spaces. Journal of convex analysis, Tome 11 (2004) no. 1, pp. 179-196. http://geodesic.mathdoc.fr/item/JCA_2004_11_1_JCA_2004_11_1_a11/
@article{JCA_2004_11_1_JCA_2004_11_1_a11,
author = {M. Ivanov},
title = {Sequential {Representation} {Formulae} for {G-Subdifferential} and {Clarke} {Subdifferential} in {Smooth} {Banach} {Spaces}},
journal = {Journal of convex analysis},
pages = {179--196},
year = {2004},
volume = {11},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JCA_2004_11_1_JCA_2004_11_1_a11/}
}
TY - JOUR
AU - M. Ivanov
TI - Sequential Representation Formulae for G-Subdifferential and Clarke Subdifferential in Smooth Banach Spaces
JO - Journal of convex analysis
PY - 2004
SP - 179
EP - 196
VL - 11
IS - 1
UR - http://geodesic.mathdoc.fr/item/JCA_2004_11_1_JCA_2004_11_1_a11/
ID - JCA_2004_11_1_JCA_2004_11_1_a11
ER -
%0 Journal Article
%A M. Ivanov
%T Sequential Representation Formulae for G-Subdifferential and Clarke Subdifferential in Smooth Banach Spaces
%J Journal of convex analysis
%D 2004
%P 179-196
%V 11
%N 1
%U http://geodesic.mathdoc.fr/item/JCA_2004_11_1_JCA_2004_11_1_a11/
%F JCA_2004_11_1_JCA_2004_11_1_a11
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.
