Geodesic
A Komlós-type theorem for the set-valued Henstock-Kurzweil-Pettis integral and applications
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 3, pp. 1029-1047

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 26A39, 26E25, 28A20, 28B20
Keywords: Komlós convergence; Henstock-Kurzweil integral; Henstock-Kurzweil-Pettis set-valued integral; selection 
@article{CMJ_2006__56_3_a21,
     author = {Satco, B.},
     title = {A {Koml\'os-type} theorem for the set-valued {Henstock-Kurzweil-Pettis} integral and applications},
     journal = {Czechoslovak Mathematical Journal},
     pages = {1029--1047},
     publisher = {mathdoc},
     volume = {56},
     number = {3},
     year = {2006},
     mrnumber = {2261675},
     zbl = {1164.28301},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2006__56_3_a21/}
}
TY  - JOUR
AU  - Satco, B.
TI  - A Komlós-type theorem for the set-valued Henstock-Kurzweil-Pettis integral and applications
JO  - Czechoslovak Mathematical Journal
PY  - 2006
SP  - 1029
EP  - 1047
VL  - 56
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMJ_2006__56_3_a21/
LA  - en
ID  - CMJ_2006__56_3_a21
ER  - 
%0 Journal Article
%A Satco, B.
%T A Komlós-type theorem for the set-valued Henstock-Kurzweil-Pettis integral and applications
%J Czechoslovak Mathematical Journal
%D 2006
%P 1029-1047
%V 56
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMJ_2006__56_3_a21/
%G en
%F CMJ_2006__56_3_a21
Satco, B. A Komlós-type theorem for the set-valued Henstock-Kurzweil-Pettis integral and applications. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 3, pp. 1029-1047. http://geodesic.mathdoc.fr/item/CMJ_2006__56_3_a21/