Decomposable hulls of multifunctions

• Autorzy: Andrzej Nowak , Celina Rom
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

decomposable set; multifunction; decomposable hull

Kategorie tematyczne

• 54C60: Set-valued maps
• 49J53: Set-valued and variational analysis
• 26E25: Set-valued functions

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
• Rocznik: 2002
• Tom: 22
• Numer: 2
• Strony: 233-241

Daty

wydano

2002

otrzymano

2002-04-03

Twórcy

autor

Andrzej Nowak

• Silesian University, Institute of Mathematics, Bankowa 14, 40-007 Katowice, Poland

autor

Celina Rom

• University of Bielsko-Biała, Department of Mathematics, Willowa 2, 43-309 Bielsko-Biała, Poland

Bibliografia

• [1] F. Hiai and H. Umegaki, Integrals, conditional expectations, and martingales of multivalued functions, J. Multivariate Anal. 7 (1977), 149-182.
• [2] C.J. Himmelberg, Measurable relations, Fund. Math. 87 (1975), 53-72.
• [3] Cz. Olech, Decomposability as substitute for convexity, in: Multifunctions and Integrands (ed. G. Salinetti), Lecture Notes in Math. 1091, Springer Verlag (1984), 193-205.
• [4] 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.

Identyfikatory

DOI

10.7151/dmgt.1040