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ArticleOriginal scientific text

Title

Selection theorem in L¹

Authors 1, 2

Affiliations

  1. Silesian University, Institute of Mathematics, Bankowa 14, 40-007 Katowice, Poland
  2. University of Bielsko-Biała, Department of Mathematics, Willowa 2, 43-309 Bielsko-Biała, Poland

Abstract

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

ENG
multifunction, measurable selector, continuous selector, decomposable set

Bibliography

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Discussiones Mathematicae, Differential Inclusions, Control and Optimization
2006/26/1
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Pages:
123-127
Main language of publication
English
Received
2005-08-23
Published
2006

DOI: 10.7151/dmdico.1069

Exact and natural sciences