Journal of convex analysis, Tome 14 (2007) no. 2, pp. 413-432
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N. Ovcharova; J. Gwinner. On Moreau-Yosida Approximation and on Stability of Second-Order Subdifferentials of Clarke's Type. Journal of convex analysis, Tome 14 (2007) no. 2, pp. 413-432. http://geodesic.mathdoc.fr/item/JCA_2007_14_2_JCA_2007_14_2_a11/
@article{JCA_2007_14_2_JCA_2007_14_2_a11,
author = {N. Ovcharova and J. Gwinner},
title = {On {Moreau-Yosida} {Approximation} and on {Stability} of {Second-Order} {Subdifferentials} of {Clarke's} {Type}},
journal = {Journal of convex analysis},
pages = {413--432},
year = {2007},
volume = {14},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JCA_2007_14_2_JCA_2007_14_2_a11/}
}
TY - JOUR
AU - N. Ovcharova
AU - J. Gwinner
TI - On Moreau-Yosida Approximation and on Stability of Second-Order Subdifferentials of Clarke's Type
JO - Journal of convex analysis
PY - 2007
SP - 413
EP - 432
VL - 14
IS - 2
UR - http://geodesic.mathdoc.fr/item/JCA_2007_14_2_JCA_2007_14_2_a11/
ID - JCA_2007_14_2_JCA_2007_14_2_a11
ER -
%0 Journal Article
%A N. Ovcharova
%A J. Gwinner
%T On Moreau-Yosida Approximation and on Stability of Second-Order Subdifferentials of Clarke's Type
%J Journal of convex analysis
%D 2007
%P 413-432
%V 14
%N 2
%U http://geodesic.mathdoc.fr/item/JCA_2007_14_2_JCA_2007_14_2_a11/
%F JCA_2007_14_2_JCA_2007_14_2_a11
For the Gateaux derivative of a C1,1 function defined on a reflexive Banach space with Kadec norm || . ||, we use Moreau-Yosida regularization to show that Clarke's subdifferential of second-order can be weak*-approximated from below. Moreover, in the convex case we can strengthen the inclusion to an equality in the limit.