Strong Convergence on the Split Feasibility Problem by Mixing W-Mapping
In this paper, we concern with the split feasibility problem (SFP) in real Hilbert space whenever the sets involved are nonempty, closed, and convex. By mixing W-mapping with the viscosity, we introduce a new iterative algorithm for solving the split feasibility problem, and we prove that our propos...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9924937 |
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| _version_ | 1832546790131367936 |
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| author | Fugen Gao Xiaoxiao Liu Xiaochun Li |
| author_facet | Fugen Gao Xiaoxiao Liu Xiaochun Li |
| author_sort | Fugen Gao |
| collection | DOAJ |
| description | In this paper, we concern with the split feasibility problem (SFP) in real Hilbert space whenever the sets involved are nonempty, closed, and convex. By mixing W-mapping with the viscosity, we introduce a new iterative algorithm for solving the split feasibility problem, and we prove that our proposed algorithm is convergent strongly to a solution of the split feasibility problem. |
| format | Article |
| id | doaj-art-224ef615c2e8470182aa6de50f32e3a7 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-224ef615c2e8470182aa6de50f32e3a72025-02-03T06:47:04ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/99249379924937Strong Convergence on the Split Feasibility Problem by Mixing W-MappingFugen Gao0Xiaoxiao Liu1Xiaochun Li2College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, Henan, ChinaCollege of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, Henan, ChinaCollege of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, Henan, ChinaIn this paper, we concern with the split feasibility problem (SFP) in real Hilbert space whenever the sets involved are nonempty, closed, and convex. By mixing W-mapping with the viscosity, we introduce a new iterative algorithm for solving the split feasibility problem, and we prove that our proposed algorithm is convergent strongly to a solution of the split feasibility problem.http://dx.doi.org/10.1155/2021/9924937 |
| spellingShingle | Fugen Gao Xiaoxiao Liu Xiaochun Li Strong Convergence on the Split Feasibility Problem by Mixing W-Mapping Journal of Mathematics |
| title | Strong Convergence on the Split Feasibility Problem by Mixing W-Mapping |
| title_full | Strong Convergence on the Split Feasibility Problem by Mixing W-Mapping |
| title_fullStr | Strong Convergence on the Split Feasibility Problem by Mixing W-Mapping |
| title_full_unstemmed | Strong Convergence on the Split Feasibility Problem by Mixing W-Mapping |
| title_short | Strong Convergence on the Split Feasibility Problem by Mixing W-Mapping |
| title_sort | strong convergence on the split feasibility problem by mixing w mapping |
| url | http://dx.doi.org/10.1155/2021/9924937 |
| work_keys_str_mv | AT fugengao strongconvergenceonthesplitfeasibilityproblembymixingwmapping AT xiaoxiaoliu strongconvergenceonthesplitfeasibilityproblembymixingwmapping AT xiaochunli strongconvergenceonthesplitfeasibilityproblembymixingwmapping |