Nonpivot and Implicit Projected Dynamical Systems on Hilbert Spaces
This paper presents a generalization of the concept and uses of projected dynamical systems to the case of nonpivot Hilbert spaces. These are Hilbert spaces in which the topological dual space is not identified with the base space. The generalization consists of showing the existence of such systems...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/508570 |
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| _version_ | 1832563865495273472 |
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| author | Monica Gabriela Cojocaru Stephane Pia |
| author_facet | Monica Gabriela Cojocaru Stephane Pia |
| author_sort | Monica Gabriela Cojocaru |
| collection | DOAJ |
| description | This paper presents a generalization of the concept and uses of projected dynamical systems to the case of nonpivot Hilbert spaces. These are Hilbert spaces in which the topological dual space is not identified with the base space. The generalization consists of showing the existence of such systems and their relation to variational problems, such as variational inequalities. In the case of usual Hilbert spaces these systems have been extensively studied, and, as in previous works, this
new generalization has been motivated by applications, as shown below. |
| format | Article |
| id | doaj-art-c2a2e005dfef474aae177de0649853de |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-c2a2e005dfef474aae177de0649853de2025-02-03T01:12:28ZengWileyJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/508570508570Nonpivot and Implicit Projected Dynamical Systems on Hilbert SpacesMonica Gabriela Cojocaru0Stephane Pia1Department of Mathematics & Statistics, University of Guelph, Guelph, ON, N1G 2W1, CanadaDepartment of Mathematics & Computer Science, University of Catania, 95124 Catania, ItalyThis paper presents a generalization of the concept and uses of projected dynamical systems to the case of nonpivot Hilbert spaces. These are Hilbert spaces in which the topological dual space is not identified with the base space. The generalization consists of showing the existence of such systems and their relation to variational problems, such as variational inequalities. In the case of usual Hilbert spaces these systems have been extensively studied, and, as in previous works, this new generalization has been motivated by applications, as shown below.http://dx.doi.org/10.1155/2012/508570 |
| spellingShingle | Monica Gabriela Cojocaru Stephane Pia Nonpivot and Implicit Projected Dynamical Systems on Hilbert Spaces Journal of Function Spaces and Applications |
| title | Nonpivot and Implicit Projected Dynamical Systems on Hilbert Spaces |
| title_full | Nonpivot and Implicit Projected Dynamical Systems on Hilbert Spaces |
| title_fullStr | Nonpivot and Implicit Projected Dynamical Systems on Hilbert Spaces |
| title_full_unstemmed | Nonpivot and Implicit Projected Dynamical Systems on Hilbert Spaces |
| title_short | Nonpivot and Implicit Projected Dynamical Systems on Hilbert Spaces |
| title_sort | nonpivot and implicit projected dynamical systems on hilbert spaces |
| url | http://dx.doi.org/10.1155/2012/508570 |
| work_keys_str_mv | AT monicagabrielacojocaru nonpivotandimplicitprojecteddynamicalsystemsonhilbertspaces AT stephanepia nonpivotandimplicitprojecteddynamicalsystemsonhilbertspaces |