Journal of convex analysis, Tome 13 (2006) no. 3, pp. 751-758
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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/
@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},
year = {2006},
volume = {13},
number = {3},
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
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
%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
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.
