Selection theorem in L¹
Andrzej Nowak ; Celina Rom
Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 26 (2006), p. 123-127 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:271151 
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Andrzej Nowak; Celina Rom. Selection theorem in L¹. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 26 (2006) pp. 123-127. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1069/

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