Decomposable hulls of multifunctions

Andrzej Nowak; Celina Rom

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2002)

  • Volume: 22, Issue: 2, page 233-241
  • ISSN: 1509-9407

Abstract

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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.

How to cite

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Andrzej Nowak, and Celina Rom. "Decomposable hulls of multifunctions." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 22.2 (2002): 233-241. <http://eudml.org/doc/271550>.

@article{AndrzejNowak2002,
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.},
author = {Andrzej Nowak, Celina Rom},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {decomposable set; multifunction; decomposable hull; regularity; Vietoris lower semicontinuity},
language = {eng},
number = {2},
pages = {233-241},
title = {Decomposable hulls of multifunctions},
url = {http://eudml.org/doc/271550},
volume = {22},
year = {2002},
}

TY - JOUR
AU - Andrzej Nowak
AU - Celina Rom
TI - Decomposable hulls of multifunctions
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 2002
VL - 22
IS - 2
SP - 233
EP - 241
AB - 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.
LA - eng
KW - decomposable set; multifunction; decomposable hull; regularity; Vietoris lower semicontinuity
UR - http://eudml.org/doc/271550
ER -

References

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  1. [1] F. Hiai and H. Umegaki, Integrals, conditional expectations, and martingales of multivalued functions, J. Multivariate Anal. 7 (1977), 149-182. Zbl0368.60006
  2. [2] C.J. Himmelberg, Measurable relations, Fund. Math. 87 (1975), 53-72. Zbl0296.28003
  3. [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. [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. Zbl0847.54019

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