Iterative Algorithms for the Split Problem and Its Convergence Analysis
Now, it is known that the split common fixed point problem is a generalization of the split feasibility problem and of the convex feasibility problem. In this paper, the split common fixed point problem associated with the pseudocontractions is studied. An iterative algorithm has been presented for...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/897370 |
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| _version_ | 1832554977509244928 |
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| author | Zhangsong Yao Arif Rafiq Shin Min Kang Li-Jun Zhu |
| author_facet | Zhangsong Yao Arif Rafiq Shin Min Kang Li-Jun Zhu |
| author_sort | Zhangsong Yao |
| collection | DOAJ |
| description | Now, it is known that the split common fixed point problem is a generalization of the split feasibility problem and of the convex feasibility problem. In this paper, the split common fixed point problem associated with the pseudocontractions is studied. An iterative algorithm has been presented for solving the split common fixed point problem. Strong convergence result is obtained. |
| format | Article |
| id | doaj-art-e25ae99809914714aa6ddeb682139388 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e25ae99809914714aa6ddeb6821393882025-02-03T05:49:57ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/897370897370Iterative Algorithms for the Split Problem and Its Convergence AnalysisZhangsong Yao0Arif Rafiq1Shin Min Kang2Li-Jun Zhu3School of Mathematics & Information Technology, Nanjing Xiaozhuang University, Nanjing 211171, ChinaDepartment of Mathematics, Lahore Leads University, Lahore 54810, PakistanDepartment of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of KoreaSchool of Mathematics and Information Science, Beifang University of Nationalities, Yinchuan 750021, ChinaNow, it is known that the split common fixed point problem is a generalization of the split feasibility problem and of the convex feasibility problem. In this paper, the split common fixed point problem associated with the pseudocontractions is studied. An iterative algorithm has been presented for solving the split common fixed point problem. Strong convergence result is obtained.http://dx.doi.org/10.1155/2014/897370 |
| spellingShingle | Zhangsong Yao Arif Rafiq Shin Min Kang Li-Jun Zhu Iterative Algorithms for the Split Problem and Its Convergence Analysis Abstract and Applied Analysis |
| title | Iterative Algorithms for the Split Problem and Its Convergence Analysis |
| title_full | Iterative Algorithms for the Split Problem and Its Convergence Analysis |
| title_fullStr | Iterative Algorithms for the Split Problem and Its Convergence Analysis |
| title_full_unstemmed | Iterative Algorithms for the Split Problem and Its Convergence Analysis |
| title_short | Iterative Algorithms for the Split Problem and Its Convergence Analysis |
| title_sort | iterative algorithms for the split problem and its convergence analysis |
| url | http://dx.doi.org/10.1155/2014/897370 |
| work_keys_str_mv | AT zhangsongyao iterativealgorithmsforthesplitproblemanditsconvergenceanalysis AT arifrafiq iterativealgorithmsforthesplitproblemanditsconvergenceanalysis AT shinminkang iterativealgorithmsforthesplitproblemanditsconvergenceanalysis AT lijunzhu iterativealgorithmsforthesplitproblemanditsconvergenceanalysis |