ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
Vol. LXXIV, 1 (2005)
p. 133 - 141
Continuous selections for Lipschitz multifunctions
I. Kupka
Abstract.
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.
Keywords:
Continuous selection, Lipschitz multifunction.
AMS Subject classification: Primary: 54C65;
Secondary: 54C30.
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Acta Mathematica Universitatis Comenianae
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