Geodesic
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

Voir la notice de l'article provenant de la source Heldermann Verlag

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. 
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     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},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2007},
     url = {http://geodesic.mathdoc.fr/item/JCA_2007_14_2_JCA_2007_14_2_a11/}
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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/