Geodesic
Selection theorem in L¹
Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 26 (2006) no. 1, pp. 123-127.

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Let F be a multifunction from a metric space X into L¹, and B a subset of X. We give sufficient conditions for the existence of a measurable selector of F which is continuous at every point of B. Among other assumptions, we require the decomposability of F(x) for x ∈ B.
Keywords: multifunction, measurable selector, continuous selector, decomposable set 
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Nowak, Andrzej; Rom, Celina. Selection theorem in L¹. Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 26 (2006) no. 1, pp. 123-127. http://geodesic.mathdoc.fr/item/DMDICO_2006_26_1_a6/

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