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 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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 
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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/

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