A Note on Approximating Curve with 1-Norm Regularization Method for the Split Feasibility Problem
Inspired by the very recent results of Wang and Xu (2010), we study properties of the approximating curve with 1-norm regularization method for the split feasibility problem (SFP). The concept of the minimum-norm solution set of SFP in the sense of 1-norm is proposed, and the relationship between th...
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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 Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/683890 |
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| _version_ | 1849686387994918912 |
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| author | Songnian He Wenlong Zhu |
| author_facet | Songnian He Wenlong Zhu |
| author_sort | Songnian He |
| collection | DOAJ |
| description | Inspired by the very recent results of Wang and Xu (2010), we study properties of the approximating curve with 1-norm regularization method for
the split feasibility problem (SFP). The concept of the minimum-norm solution
set of SFP in the sense of 1-norm is proposed, and the relationship between the approximating curve and the minimum-norm solution set is obtained. |
| format | Article |
| id | doaj-art-c5e62508e2fe4e3a8421760d90560643 |
| institution | DOAJ |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c5e62508e2fe4e3a8421760d905606432025-08-20T03:22:42ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/683890683890A Note on Approximating Curve with 1-Norm Regularization Method for the Split Feasibility ProblemSongnian He0Wenlong Zhu1College of Science, Civil Aviation University of China, Tianjin 300300, ChinaCollege of Science, Civil Aviation University of China, Tianjin 300300, ChinaInspired by the very recent results of Wang and Xu (2010), we study properties of the approximating curve with 1-norm regularization method for the split feasibility problem (SFP). The concept of the minimum-norm solution set of SFP in the sense of 1-norm is proposed, and the relationship between the approximating curve and the minimum-norm solution set is obtained.http://dx.doi.org/10.1155/2012/683890 |
| spellingShingle | Songnian He Wenlong Zhu A Note on Approximating Curve with 1-Norm Regularization Method for the Split Feasibility Problem Journal of Applied Mathematics |
| title | A Note on Approximating Curve with 1-Norm Regularization Method for the Split Feasibility Problem |
| title_full | A Note on Approximating Curve with 1-Norm Regularization Method for the Split Feasibility Problem |
| title_fullStr | A Note on Approximating Curve with 1-Norm Regularization Method for the Split Feasibility Problem |
| title_full_unstemmed | A Note on Approximating Curve with 1-Norm Regularization Method for the Split Feasibility Problem |
| title_short | A Note on Approximating Curve with 1-Norm Regularization Method for the Split Feasibility Problem |
| title_sort | note on approximating curve with 1 norm regularization method for the split feasibility problem |
| url | http://dx.doi.org/10.1155/2012/683890 |
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