A Strongly Convergent Method for the Split Feasibility Problem
The purpose of this paper is to introduce and analyze a strongly convergent method which combined regularized method, with extragradient method for solving the split feasibility problem in the setting of infinite-dimensional Hilbert spaces. Note that the strong convergence point is the minimum norm...
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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: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/125046 |
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| _version_ | 1832548366362345472 |
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| author | Yonghong Yao Yeong-Cheng Liou Naseer Shahzad |
| author_facet | Yonghong Yao Yeong-Cheng Liou Naseer Shahzad |
| author_sort | Yonghong Yao |
| collection | DOAJ |
| description | The purpose of this paper is to introduce and analyze a strongly convergent method which combined regularized method, with extragradient method for solving the split feasibility problem in the setting of infinite-dimensional Hilbert spaces. Note that the strong convergence point is the minimum norm solution of the split feasibility problem. |
| format | Article |
| id | doaj-art-e74b297e58694d1a806a37a68c7e911f |
| 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-e74b297e58694d1a806a37a68c7e911f2025-02-03T06:14:17ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/125046125046A Strongly Convergent Method for the Split Feasibility ProblemYonghong Yao0Yeong-Cheng Liou1Naseer Shahzad2Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, ChinaDepartment of Information Management, Cheng Shiu University, Kaohsiung 833, TaiwanDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaThe purpose of this paper is to introduce and analyze a strongly convergent method which combined regularized method, with extragradient method for solving the split feasibility problem in the setting of infinite-dimensional Hilbert spaces. Note that the strong convergence point is the minimum norm solution of the split feasibility problem.http://dx.doi.org/10.1155/2012/125046 |
| spellingShingle | Yonghong Yao Yeong-Cheng Liou Naseer Shahzad A Strongly Convergent Method for the Split Feasibility Problem Abstract and Applied Analysis |
| title | A Strongly Convergent Method for the Split Feasibility Problem |
| title_full | A Strongly Convergent Method for the Split Feasibility Problem |
| title_fullStr | A Strongly Convergent Method for the Split Feasibility Problem |
| title_full_unstemmed | A Strongly Convergent Method for the Split Feasibility Problem |
| title_short | A Strongly Convergent Method for the Split Feasibility Problem |
| title_sort | strongly convergent method for the split feasibility problem |
| url | http://dx.doi.org/10.1155/2012/125046 |
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