Geodesic
Continuous selections for Lipschitz multifunctions
Acta mathematica Universitatis Comenianae, Tome 74 (2005) no. 1 
I. Kupka. Continuous selections for Lipschitz multifunctions. Acta mathematica Universitatis Comenianae, Tome 74 (2005) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2005_74_1_a11/
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     author = {I. Kupka},
     title = {Continuous selections for {Lipschitz} multifunctions},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2005},
     volume = {74},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2005_74_1_a11/}
}
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Voir la notice de l'article provenant de la source Comenius University

In [11] an example presented a Hausdorff continuous, u.s.c. and l.s.c. multifunction from $\langle-1,0\rangle$ to $\Bbb R$ which had no continuous selection. The multifunction was not locally Lipschitz. In this paper we show that a locally Lipschitz multifunction from $\Bbb R $ to a Banach space, which has ''locally finitely dimensional`` closed values does have a continuous selection.