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

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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.

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Authors and Affiliations

  1. UFR Sciences et Techniques, Laboratoire de Mathématiques CNRS-UMR 6205, Université de Bretagne Occidentale, 6 Avenue Victor Le Gorgeu, CS 93837, 29283, Brest Cedex 3, France

    B. Satco

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  1. B. Satco
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Satco, B. A Komlós-type theorem for the set-valued Henstock-Kurzweil-Pettis integral and applications. Czech Math J 56, 1029–1047 (2006). https://doi.org/10.1007/s10587-006-0078-5

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  • DOI: https://doi.org/10.1007/s10587-006-0078-5

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