ArticleOriginal scientific text
Title
Decomposable hulls of multifunctions
Authors 1, 2
Affiliations
- Silesian University, Institute of Mathematics, Bankowa 14, 40-007 Katowice, Poland
- University of Bielsko-Biała, Department of Mathematics, Willowa 2, 43-309 Bielsko-Biała, Poland
Abstract
Let F be a multifunction with values in Lₚ(Ω, X). In this note, we study which regularity properties of F are preserved when we consider the decomposable hull of F.
Keywords
decomposable set, multifunction, decomposable hull
Bibliography
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- C.J. Himmelberg, Measurable relations, Fund. Math. 87 (1975), 53-72.
- Cz. Olech, Decomposability as substitute for convexity, in: Multifunctions and Integrands (ed. G. Salinetti), Lecture Notes in Math. 1091, Springer Verlag (1984), 193-205.
- A.A. Tolstonogov and D.A. Tolstonogov, Lₚ-continuous extreme selectors of multifunctions with decomposable values: Existence theorems, Set-Valued Anal. 4 (1996), 173-203.
Pages:
233-241
Main language of publication
English
Received
2002-04-03
Published
2002
DOI: 10.7151/dmgt.1040
Exact and natural sciences