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
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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},
     year = {2006},
     volume = {13},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2006_13_3_JCA_2006_13_3_a16/}
}
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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/