Geodesic
Differentiability of Lipschitz Functions on a Space with Uniformly Gâteaux Differentiable Norm
Journal of convex analysis, Tome 13 (2006) no. 3, pp. 751-758.

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

On a normed linear space with uniformly Gâteaux differentiable norm a locally Lipschitz function which satisfies a property relating the Dini derivatives to a constant determined by the Michel-Penot derivative possesses significant differentiability properties. This generalises previous joint work with Simon Fitzpatrick. 
@article{JCA_2006_13_3_JCA_2006_13_3_a16,
     author = {J. R. Giles},
     title = {Differentiability of {Lipschitz} {Functions} on a {Space} with {Uniformly} {G\^ateaux} {Differentiable} {Norm}},
     journal = {Journal of convex analysis},
     pages = {751--758},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {2006},
     url = {http://geodesic.mathdoc.fr/item/JCA_2006_13_3_JCA_2006_13_3_a16/}
}
TY  - JOUR
AU  - J. R. Giles
TI  - Differentiability of Lipschitz Functions on a Space with Uniformly Gâteaux Differentiable Norm
JO  - Journal of convex analysis
PY  - 2006
SP  - 751
EP  - 758
VL  - 13
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JCA_2006_13_3_JCA_2006_13_3_a16/
ID  - JCA_2006_13_3_JCA_2006_13_3_a16
ER  - 
%0 Journal Article
%A J. R. Giles
%T Differentiability of Lipschitz Functions on a Space with Uniformly Gâteaux Differentiable Norm
%J Journal of convex analysis
%D 2006
%P 751-758
%V 13
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JCA_2006_13_3_JCA_2006_13_3_a16/
%F JCA_2006_13_3_JCA_2006_13_3_a16
J. R. Giles. Differentiability of Lipschitz Functions on a Space with Uniformly Gâteaux Differentiable Norm. Journal of convex analysis, Tome 13 (2006) no. 3, pp. 751-758. http://geodesic.mathdoc.fr/item/JCA_2006_13_3_JCA_2006_13_3_a16/