New Set-Valued Integral in a Banach Space
We introduce and study a new set-valued integral of scalar-valued functions with respect to a set-valued measure in a Banach space. We investigate some properties and convergence theorems for this kind of integral.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/260238 |
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Article |
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doaj-505531da3ec64511a494dec24779d02c2020-11-24T22:52:40ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/260238260238New Set-Valued Integral in a Banach SpaceCai-Li Zhou0Fu-Gui Shi1College of Mathematics and Information Science, Hebei University, Baoding 071002, ChinaSchool of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, ChinaWe introduce and study a new set-valued integral of scalar-valued functions with respect to a set-valued measure in a Banach space. We investigate some properties and convergence theorems for this kind of integral.http://dx.doi.org/10.1155/2015/260238 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Cai-Li Zhou Fu-Gui Shi |
| spellingShingle |
Cai-Li Zhou Fu-Gui Shi New Set-Valued Integral in a Banach Space Journal of Function Spaces |
| author_facet |
Cai-Li Zhou Fu-Gui Shi |
| author_sort |
Cai-Li Zhou |
| title |
New Set-Valued Integral in a Banach Space |
| title_short |
New Set-Valued Integral in a Banach Space |
| title_full |
New Set-Valued Integral in a Banach Space |
| title_fullStr |
New Set-Valued Integral in a Banach Space |
| title_full_unstemmed |
New Set-Valued Integral in a Banach Space |
| title_sort |
new set-valued integral in a banach space |
| publisher |
Hindawi Limited |
| series |
Journal of Function Spaces |
| issn |
2314-8896 2314-8888 |
| publishDate |
2015-01-01 |
| description |
We introduce and study a new set-valued integral of scalar-valued functions with respect to a set-valued measure in a Banach space. We investigate some properties and convergence theorems for this kind of integral. |
| url |
http://dx.doi.org/10.1155/2015/260238 |
| work_keys_str_mv |
AT cailizhou newsetvaluedintegralinabanachspace AT fuguishi newsetvaluedintegralinabanachspace |
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