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Keywords:
Komlós convergence; Henstock-Kurzweil integral; Henstock-Kurzweil-Pettis set-valued integral; selection
Komlós convergence; Henstock-Kurzweil integral; Henstock-Kurzweil-Pettis set-valued integral; selection
Summary:
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.
References:
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