Strong convergence of an extragradient-type algorithm for the multiple-sets split equality problem
Abstract This paper introduces a new extragradient-type method to solve the multiple-sets split equality problem (MSSEP). Under some suitable conditions, the strong convergence of an algorithm can be verified in the infinite-dimensional Hilbert spaces. Moreover, several numerical results are given t...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-02-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-017-1326-y |
| _version_ | 1811303186576703488 |
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| author | Ying Zhao Luoyi Shi |
| author_facet | Ying Zhao Luoyi Shi |
| author_sort | Ying Zhao |
| collection | DOAJ |
| description | Abstract This paper introduces a new extragradient-type method to solve the multiple-sets split equality problem (MSSEP). Under some suitable conditions, the strong convergence of an algorithm can be verified in the infinite-dimensional Hilbert spaces. Moreover, several numerical results are given to show the effectiveness of our algorithm. |
| first_indexed | 2024-04-13T07:43:33Z |
| format | Article |
| id | doaj.art-43bc8946bd2445ad95379b06668c0852 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-13T07:43:33Z |
| publishDate | 2017-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-43bc8946bd2445ad95379b06668c08522022-12-22T02:55:48ZengSpringerOpenJournal of Inequalities and Applications1029-242X2017-02-012017111110.1186/s13660-017-1326-yStrong convergence of an extragradient-type algorithm for the multiple-sets split equality problemYing Zhao0Luoyi Shi1Department of Mathematics, Tianjin Polytechnic UniversityDepartment of Mathematics, Tianjin Polytechnic UniversityAbstract This paper introduces a new extragradient-type method to solve the multiple-sets split equality problem (MSSEP). Under some suitable conditions, the strong convergence of an algorithm can be verified in the infinite-dimensional Hilbert spaces. Moreover, several numerical results are given to show the effectiveness of our algorithm.http://link.springer.com/article/10.1186/s13660-017-1326-ystrong convergenceextragradient-typemultiple-sets split equality problem |
| spellingShingle | Ying Zhao Luoyi Shi Strong convergence of an extragradient-type algorithm for the multiple-sets split equality problem Journal of Inequalities and Applications strong convergence extragradient-type multiple-sets split equality problem |
| title | Strong convergence of an extragradient-type algorithm for the multiple-sets split equality problem |
| title_full | Strong convergence of an extragradient-type algorithm for the multiple-sets split equality problem |
| title_fullStr | Strong convergence of an extragradient-type algorithm for the multiple-sets split equality problem |
| title_full_unstemmed | Strong convergence of an extragradient-type algorithm for the multiple-sets split equality problem |
| title_short | Strong convergence of an extragradient-type algorithm for the multiple-sets split equality problem |
| title_sort | strong convergence of an extragradient type algorithm for the multiple sets split equality problem |
| topic | strong convergence extragradient-type multiple-sets split equality problem |
| url | http://link.springer.com/article/10.1186/s13660-017-1326-y |
| work_keys_str_mv | AT yingzhao strongconvergenceofanextragradienttypealgorithmforthemultiplesetssplitequalityproblem AT luoyishi strongconvergenceofanextragradienttypealgorithmforthemultiplesetssplitequalityproblem |