Simultaneous and semi-alternating projection algorithms for solving split equality problems
Abstract In this article, we first introduce two simultaneous projection algorithms for solving the split equality problem by using a new choice of the stepsize, and then propose two semi-alternating projection algorithms. The weak convergence of the proposed algorithms is analyzed under standard co...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-017-1595-5 |
| _version_ | 1811204995206348800 |
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| author | Qiao-Li Dong Dan Jiang |
| author_facet | Qiao-Li Dong Dan Jiang |
| author_sort | Qiao-Li Dong |
| collection | DOAJ |
| description | Abstract In this article, we first introduce two simultaneous projection algorithms for solving the split equality problem by using a new choice of the stepsize, and then propose two semi-alternating projection algorithms. The weak convergence of the proposed algorithms is analyzed under standard conditions. As applications, we extend the results to solve the split feasibility problem. Finally, a numerical example is presented to illustrate the efficiency and advantage of the proposed algorithms. |
| first_indexed | 2024-04-12T03:23:08Z |
| format | Article |
| id | doaj.art-a344acd94ce44095afb9c926a09dca51 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-12T03:23:08Z |
| publishDate | 2018-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-a344acd94ce44095afb9c926a09dca512022-12-22T03:49:50ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-01-012018112810.1186/s13660-017-1595-5Simultaneous and semi-alternating projection algorithms for solving split equality problemsQiao-Li Dong0Dan Jiang1Tianjin Key Laboratory for Advanced Signal Processing, College of Science, Civil Aviation University of ChinaTianjin Key Laboratory for Advanced Signal Processing, College of Science, Civil Aviation University of ChinaAbstract In this article, we first introduce two simultaneous projection algorithms for solving the split equality problem by using a new choice of the stepsize, and then propose two semi-alternating projection algorithms. The weak convergence of the proposed algorithms is analyzed under standard conditions. As applications, we extend the results to solve the split feasibility problem. Finally, a numerical example is presented to illustrate the efficiency and advantage of the proposed algorithms.http://link.springer.com/article/10.1186/s13660-017-1595-5simultaneous projection algorithmsemi-alternating projection algorithmmaximal monotone operatorsplit equality problem |
| spellingShingle | Qiao-Li Dong Dan Jiang Simultaneous and semi-alternating projection algorithms for solving split equality problems Journal of Inequalities and Applications simultaneous projection algorithm semi-alternating projection algorithm maximal monotone operator split equality problem |
| title | Simultaneous and semi-alternating projection algorithms for solving split equality problems |
| title_full | Simultaneous and semi-alternating projection algorithms for solving split equality problems |
| title_fullStr | Simultaneous and semi-alternating projection algorithms for solving split equality problems |
| title_full_unstemmed | Simultaneous and semi-alternating projection algorithms for solving split equality problems |
| title_short | Simultaneous and semi-alternating projection algorithms for solving split equality problems |
| title_sort | simultaneous and semi alternating projection algorithms for solving split equality problems |
| topic | simultaneous projection algorithm semi-alternating projection algorithm maximal monotone operator split equality problem |
| url | http://link.springer.com/article/10.1186/s13660-017-1595-5 |
| work_keys_str_mv | AT qiaolidong simultaneousandsemialternatingprojectionalgorithmsforsolvingsplitequalityproblems AT danjiang simultaneousandsemialternatingprojectionalgorithmsforsolvingsplitequalityproblems |