Inertial Iteration for Split Common Fixed-Point Problem for Quasi-Nonexpansive Operators
Inspired by the note on split common fixed-point problem for quasi-nonexpansive operators presented by Moudafi (2011), based on the very recent work by Dang et al. (2012), in this paper, we propose an inertial iterative algorithm for solving the split common fixed-point problem for quasi-nonexpansiv...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/386930 |
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| _version_ | 1832563363367878656 |
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| author | Yazheng Dang Yan Gao |
| author_facet | Yazheng Dang Yan Gao |
| author_sort | Yazheng Dang |
| collection | DOAJ |
| description | Inspired by the note on split common fixed-point problem for quasi-nonexpansive operators presented by Moudafi (2011), based on the very recent work by Dang et al. (2012), in this paper, we propose an inertial iterative algorithm for solving the split common fixed-point problem for quasi-nonexpansive operators in the Hilbert space. We also prove the asymptotical convergence of the algorithm under some suitable conditions. The results improve and develop previously discussed feasibility problems and related algorithms. |
| format | Article |
| id | doaj-art-73a0691f21be4b059d74702fc6ce3ecb |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-73a0691f21be4b059d74702fc6ce3ecb2025-02-03T01:20:25ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/386930386930Inertial Iteration for Split Common Fixed-Point Problem for Quasi-Nonexpansive OperatorsYazheng Dang0Yan Gao1School of Management, University of Shanghai for Science and Technology, Shanghai 200093, ChinaSchool of Management, University of Shanghai for Science and Technology, Shanghai 200093, ChinaInspired by the note on split common fixed-point problem for quasi-nonexpansive operators presented by Moudafi (2011), based on the very recent work by Dang et al. (2012), in this paper, we propose an inertial iterative algorithm for solving the split common fixed-point problem for quasi-nonexpansive operators in the Hilbert space. We also prove the asymptotical convergence of the algorithm under some suitable conditions. The results improve and develop previously discussed feasibility problems and related algorithms.http://dx.doi.org/10.1155/2013/386930 |
| spellingShingle | Yazheng Dang Yan Gao Inertial Iteration for Split Common Fixed-Point Problem for Quasi-Nonexpansive Operators Abstract and Applied Analysis |
| title | Inertial Iteration for Split Common Fixed-Point Problem for Quasi-Nonexpansive Operators |
| title_full | Inertial Iteration for Split Common Fixed-Point Problem for Quasi-Nonexpansive Operators |
| title_fullStr | Inertial Iteration for Split Common Fixed-Point Problem for Quasi-Nonexpansive Operators |
| title_full_unstemmed | Inertial Iteration for Split Common Fixed-Point Problem for Quasi-Nonexpansive Operators |
| title_short | Inertial Iteration for Split Common Fixed-Point Problem for Quasi-Nonexpansive Operators |
| title_sort | inertial iteration for split common fixed point problem for quasi nonexpansive operators |
| url | http://dx.doi.org/10.1155/2013/386930 |
| work_keys_str_mv | AT yazhengdang inertialiterationforsplitcommonfixedpointproblemforquasinonexpansiveoperators AT yangao inertialiterationforsplitcommonfixedpointproblemforquasinonexpansiveoperators |