A Komlós-type theorem for the set-valued Henstock-Kurzweil-Pettis integral and applications

Bianca Satco

Czechoslovak Mathematical Journal (2006)

  • Volume: 56, Issue: 3, page 1029-1047
  • ISSN: 0011-4642

Abstract

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This paper presents a Komlós theorem that extends to the case of the set-valued Henstock-Kurzweil-Pettis integral a result obtained by Balder and Hess (in the integrably bounded case) and also a result of Hess and Ziat (in the Pettis integrability setting). As applications, a solution to a best approximation problem is given, weak compactness results are deduced and, finally, an existence theorem for an integral inclusion involving the Henstock-Kurzweil-Pettis set-valued integral is obtained.

How to cite

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Satco, Bianca. "A Komlós-type theorem for the set-valued Henstock-Kurzweil-Pettis integral and applications." Czechoslovak Mathematical Journal 56.3 (2006): 1029-1047. <http://eudml.org/doc/31089>.

@article{Satco2006,
abstract = {This paper presents a Komlós theorem that extends to the case of the set-valued Henstock-Kurzweil-Pettis integral a result obtained by Balder and Hess (in the integrably bounded case) and also a result of Hess and Ziat (in the Pettis integrability setting). As applications, a solution to a best approximation problem is given, weak compactness results are deduced and, finally, an existence theorem for an integral inclusion involving the Henstock-Kurzweil-Pettis set-valued integral is obtained.},
author = {Satco, Bianca},
journal = {Czechoslovak Mathematical Journal},
keywords = {Komlós convergence; Henstock-Kurzweil integral; Henstock-Kurzweil-Pettis set-valued integral; selection; Komlós convergence},
language = {eng},
number = {3},
pages = {1029-1047},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A Komlós-type theorem for the set-valued Henstock-Kurzweil-Pettis integral and applications},
url = {http://eudml.org/doc/31089},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Satco, Bianca
TI - A Komlós-type theorem for the set-valued Henstock-Kurzweil-Pettis integral and applications
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 3
SP - 1029
EP - 1047
AB - This paper presents a Komlós theorem that extends to the case of the set-valued Henstock-Kurzweil-Pettis integral a result obtained by Balder and Hess (in the integrably bounded case) and also a result of Hess and Ziat (in the Pettis integrability setting). As applications, a solution to a best approximation problem is given, weak compactness results are deduced and, finally, an existence theorem for an integral inclusion involving the Henstock-Kurzweil-Pettis set-valued integral is obtained.
LA - eng
KW - Komlós convergence; Henstock-Kurzweil integral; Henstock-Kurzweil-Pettis set-valued integral; selection; Komlós convergence
UR - http://eudml.org/doc/31089
ER -

References

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