A Komlós-type theorem for the set-valued Henstock-Kurzweil-Pettis integral and applications |
| |
Authors: | B Satco |
| |
Institution: | (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 |
| |
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. |
| |
Keywords: | Komlós convergence Henstock-Kurzweil integral Henstock-Kurzweil-Pettis set-valued integral selection |
本文献已被 SpringerLink 等数据库收录! |
|