| Title:
|
A Komlós-type theorem for the set-valued Henstock-Kurzweil-Pettis integral and applications (English) |
| Author:
|
Satco, B. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
56 |
| Issue:
|
3 |
| Year:
|
2006 |
| Pages:
|
1029-1047 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
Komlós convergence |
| Keyword:
|
Henstock-Kurzweil integral |
| Keyword:
|
Henstock-Kurzweil-Pettis set-valued integral |
| Keyword:
|
selection |
| MSC:
|
26A39 |
| MSC:
|
26E25 |
| MSC:
|
28A20 |
| MSC:
|
28B20 |
| idZBL:
|
Zbl 1164.28301 |
| idMR:
|
MR2261675 |
| . |
| Date available:
|
2009-09-24T11:41:00Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128128 |
| . |
| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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