A Rogalski-Cornet Type Inclusion Theorem Based on Two Hausdorff Locally Convex Vector Spaces
A Rogalski-Cornet type inclusion theorem based on two Hausdorff locally convex vector spaces is proved and composed of two parts. An example is presented to show that the associated set-valued map in the first part does not need any conventional continuity conditions including upper hemicontinuous....
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/596216 |
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| _version_ | 1832548855441260544 |
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| author | Yingfan Liu Youguo Wang |
| author_facet | Yingfan Liu Youguo Wang |
| author_sort | Yingfan Liu |
| collection | DOAJ |
| description | A Rogalski-Cornet type inclusion theorem based on two Hausdorff locally convex vector spaces is proved and composed of two parts. An example is presented to show that the associated set-valued map in the first part does not need any conventional continuity conditions including upper hemicontinuous. As an application, solvability results regarding an abstract von Neumann inclusion system are obtained. |
| format | Article |
| id | doaj-art-eb42810b41094348ba2401c94116b187 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-eb42810b41094348ba2401c94116b1872025-02-03T06:13:03ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/596216596216A Rogalski-Cornet Type Inclusion Theorem Based on Two Hausdorff Locally Convex Vector SpacesYingfan Liu0Youguo Wang1Department of Mathematics, College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210046, ChinaDepartment of Mathematics, College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210046, ChinaA Rogalski-Cornet type inclusion theorem based on two Hausdorff locally convex vector spaces is proved and composed of two parts. An example is presented to show that the associated set-valued map in the first part does not need any conventional continuity conditions including upper hemicontinuous. As an application, solvability results regarding an abstract von Neumann inclusion system are obtained.http://dx.doi.org/10.1155/2012/596216 |
| spellingShingle | Yingfan Liu Youguo Wang A Rogalski-Cornet Type Inclusion Theorem Based on Two Hausdorff Locally Convex Vector Spaces Abstract and Applied Analysis |
| title | A Rogalski-Cornet Type Inclusion Theorem Based on Two Hausdorff Locally Convex Vector Spaces |
| title_full | A Rogalski-Cornet Type Inclusion Theorem Based on Two Hausdorff Locally Convex Vector Spaces |
| title_fullStr | A Rogalski-Cornet Type Inclusion Theorem Based on Two Hausdorff Locally Convex Vector Spaces |
| title_full_unstemmed | A Rogalski-Cornet Type Inclusion Theorem Based on Two Hausdorff Locally Convex Vector Spaces |
| title_short | A Rogalski-Cornet Type Inclusion Theorem Based on Two Hausdorff Locally Convex Vector Spaces |
| title_sort | rogalski cornet type inclusion theorem based on two hausdorff locally convex vector spaces |
| url | http://dx.doi.org/10.1155/2012/596216 |
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