A double projection algorithm for quasimonotone variational inequalities in Banach spaces
Abstract We propose a double projection algorithm for solving variational inequality problems in Banach spaces. We establish the strong convergence of the whole sequence generated by the proposed method under the quasimonotone and uniform continuity on bounded sets, which are weaker conditions than...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-09-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1852-2 |
| _version_ | 1818877959033847808 |
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| author | Lian Zheng |
| author_facet | Lian Zheng |
| author_sort | Lian Zheng |
| collection | DOAJ |
| description | Abstract We propose a double projection algorithm for solving variational inequality problems in Banach spaces. We establish the strong convergence of the whole sequence generated by the proposed method under the quasimonotone and uniform continuity on bounded sets, which are weaker conditions than those used in existing projection-type methods for solving variational inequality problems in Banach spaces. |
| first_indexed | 2024-12-19T14:06:34Z |
| format | Article |
| id | doaj.art-bfbaee0577824c959370826beeecd465 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-19T14:06:34Z |
| publishDate | 2018-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-bfbaee0577824c959370826beeecd4652022-12-21T20:18:17ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-09-012018111410.1186/s13660-018-1852-2A double projection algorithm for quasimonotone variational inequalities in Banach spacesLian Zheng0Department of Mathematics and Statistics, Yangtze Normal UniversityAbstract We propose a double projection algorithm for solving variational inequality problems in Banach spaces. We establish the strong convergence of the whole sequence generated by the proposed method under the quasimonotone and uniform continuity on bounded sets, which are weaker conditions than those used in existing projection-type methods for solving variational inequality problems in Banach spaces.http://link.springer.com/article/10.1186/s13660-018-1852-2Variational inequalitiesBanach spacesDouble projection algorithmQuasimonotoneConvergence |
| spellingShingle | Lian Zheng A double projection algorithm for quasimonotone variational inequalities in Banach spaces Journal of Inequalities and Applications Variational inequalities Banach spaces Double projection algorithm Quasimonotone Convergence |
| title | A double projection algorithm for quasimonotone variational inequalities in Banach spaces |
| title_full | A double projection algorithm for quasimonotone variational inequalities in Banach spaces |
| title_fullStr | A double projection algorithm for quasimonotone variational inequalities in Banach spaces |
| title_full_unstemmed | A double projection algorithm for quasimonotone variational inequalities in Banach spaces |
| title_short | A double projection algorithm for quasimonotone variational inequalities in Banach spaces |
| title_sort | double projection algorithm for quasimonotone variational inequalities in banach spaces |
| topic | Variational inequalities Banach spaces Double projection algorithm Quasimonotone Convergence |
| url | http://link.springer.com/article/10.1186/s13660-018-1852-2 |
| work_keys_str_mv | AT lianzheng adoubleprojectionalgorithmforquasimonotonevariationalinequalitiesinbanachspaces AT lianzheng doubleprojectionalgorithmforquasimonotonevariationalinequalitiesinbanachspaces |