Riemann integrability of a nowhere continuous multifunction
We present an example of the Riemann integrable multifunction which is discontinuous at each point with respect to the Hausdorff metric. The constructed multifunction is neither lower nor upper semi-continuous.
| Main Author: | |
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| Format: | Article |
| Language: | deu |
| Published: |
Sciendo
2008-11-01
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| Series: | Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica |
| Online Access: | http://studmath.up.krakow.pl/index.php/studmath/article/view/61 |
| _version_ | 1818336494868234240 |
|---|---|
| author | Bożena Piątek |
| author_facet | Bożena Piątek |
| author_sort | Bożena Piątek |
| collection | DOAJ |
| description | We present an example of the Riemann integrable multifunction which is discontinuous at each point with respect to the Hausdorff metric. The constructed multifunction is neither lower nor upper semi-continuous. |
| first_indexed | 2024-12-13T14:40:13Z |
| format | Article |
| id | doaj.art-8d69deeced7f424388e03ed38e27a4aa |
| institution | Directory Open Access Journal |
| issn | 2081-545X |
| language | deu |
| last_indexed | 2024-12-13T14:40:13Z |
| publishDate | 2008-11-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica |
| spelling | doaj.art-8d69deeced7f424388e03ed38e27a4aa2022-12-21T23:41:38ZdeuSciendoAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica2081-545X2008-11-0171513Riemann integrability of a nowhere continuous multifunctionBożena PiątekWe present an example of the Riemann integrable multifunction which is discontinuous at each point with respect to the Hausdorff metric. The constructed multifunction is neither lower nor upper semi-continuous.http://studmath.up.krakow.pl/index.php/studmath/article/view/61 |
| spellingShingle | Bożena Piątek Riemann integrability of a nowhere continuous multifunction Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica |
| title | Riemann integrability of a nowhere continuous multifunction |
| title_full | Riemann integrability of a nowhere continuous multifunction |
| title_fullStr | Riemann integrability of a nowhere continuous multifunction |
| title_full_unstemmed | Riemann integrability of a nowhere continuous multifunction |
| title_short | Riemann integrability of a nowhere continuous multifunction |
| title_sort | riemann integrability of a nowhere continuous multifunction |
| url | http://studmath.up.krakow.pl/index.php/studmath/article/view/61 |
| work_keys_str_mv | AT bozenapiatek riemannintegrabilityofanowherecontinuousmultifunction |