Geodesic
Approximation of Lipschitz Mappings
Serdica Mathematical Journal, Tome 29 (2003) no. 2, pp. 141-148.

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We prove that any Lipschitz mapping from a separable Banach space into any Banach space can be approximated by uniformly Gâteaux differentiable Lipschitz mapping.
Keywords: Approximation, Uniform Gâteaux Differentiability, Lipschitz Mappings 
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     author = {Johanis, Michal},
     title = {Approximation of {Lipschitz} {Mappings}},
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Johanis, Michal. Approximation of Lipschitz Mappings. Serdica Mathematical Journal, Tome 29 (2003) no. 2, pp. 141-148. http://geodesic.mathdoc.fr/item/SMJ2_2003_29_2_a2/