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

Title:

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

Creator:

Satco, Bianca

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:8cf591dc-ce39-4294-91ad-aef095465781
uuid:8cf591dc-ce39-4294-91ad-aef095465781

Subject:

Komlós convergence, Henstock-Kurzweil integral, Henstock-Kurzweil-Pettis set-valued integral, and selection

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

1029-1047

Source:

Czechoslovak Mathematical Journal | 2006 Volume:56 | Number:3

Harvested from:

CDK

Metadata only:

false