A Hybrid Gradient-Projection Algorithm for Averaged Mappings in Hilbert Spaces
It is well known that the gradient-projection algorithm (GPA) is very useful in solving constrained convex minimization problems. In this paper, we combine a general iterative method with the gradient-projection algorithm to propose a hybrid gradient-projection algorithm and prove that the sequence...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/782960 |
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| _version_ | 1849414335418335232 |
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| author | Ming Tian Min-Min Li |
| author_facet | Ming Tian Min-Min Li |
| author_sort | Ming Tian |
| collection | DOAJ |
| description | It is well known that the gradient-projection algorithm (GPA) is very useful in solving constrained convex minimization problems. In this paper, we combine a general iterative method with the gradient-projection algorithm to propose a hybrid gradient-projection algorithm and prove that the sequence generated by the hybrid gradient-projection algorithm converges in norm to a minimizer of constrained convex minimization problems which solves a variational inequality. |
| format | Article |
| id | doaj-art-6daab64f06a74f62b3c8bb950a8d42c9 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-6daab64f06a74f62b3c8bb950a8d42c92025-08-20T03:33:52ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/782960782960A Hybrid Gradient-Projection Algorithm for Averaged Mappings in Hilbert SpacesMing Tian0Min-Min Li1College of Science, Civil Aviation University of China, Tianjin 300300, ChinaCollege of Science, Civil Aviation University of China, Tianjin 300300, ChinaIt is well known that the gradient-projection algorithm (GPA) is very useful in solving constrained convex minimization problems. In this paper, we combine a general iterative method with the gradient-projection algorithm to propose a hybrid gradient-projection algorithm and prove that the sequence generated by the hybrid gradient-projection algorithm converges in norm to a minimizer of constrained convex minimization problems which solves a variational inequality.http://dx.doi.org/10.1155/2012/782960 |
| spellingShingle | Ming Tian Min-Min Li A Hybrid Gradient-Projection Algorithm for Averaged Mappings in Hilbert Spaces Journal of Applied Mathematics |
| title | A Hybrid Gradient-Projection Algorithm for Averaged Mappings in Hilbert Spaces |
| title_full | A Hybrid Gradient-Projection Algorithm for Averaged Mappings in Hilbert Spaces |
| title_fullStr | A Hybrid Gradient-Projection Algorithm for Averaged Mappings in Hilbert Spaces |
| title_full_unstemmed | A Hybrid Gradient-Projection Algorithm for Averaged Mappings in Hilbert Spaces |
| title_short | A Hybrid Gradient-Projection Algorithm for Averaged Mappings in Hilbert Spaces |
| title_sort | hybrid gradient projection algorithm for averaged mappings in hilbert spaces |
| url | http://dx.doi.org/10.1155/2012/782960 |
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