General System of A-Monotone Nonlinear Variational Inclusions Problems with Applications
We introduce and study a new system of nonlinear variational inclusions involving a combination of A-Monotone operators and relaxed cocoercive mappings. By using the resolvent technique of the A-monotone operators, we prove the existence and uniqueness of solution and the convergence of a new multis...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2009-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2009/364615 |
| _version_ | 1818833025702559744 |
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| author | Lai-Jun Zhao Jian-Wen Peng |
| author_facet | Lai-Jun Zhao Jian-Wen Peng |
| author_sort | Lai-Jun Zhao |
| collection | DOAJ |
| description | We introduce and study a new system of nonlinear variational inclusions involving a combination of A-Monotone operators and relaxed cocoercive mappings. By using the resolvent technique of the A-monotone operators, we prove the existence and uniqueness of solution and the convergence of a new multistep iterative algorithm for this system of variational inclusions. The results in this paper unify, extend, and improve some known results in literature. |
| first_indexed | 2024-12-19T02:12:22Z |
| format | Article |
| id | doaj.art-e8e0ceb8b0c34cdcae0c4699de98c455 |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-19T02:12:22Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-e8e0ceb8b0c34cdcae0c4699de98c4552022-12-21T20:40:40ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-01200910.1155/2009/364615General System of A-Monotone Nonlinear Variational Inclusions Problems with ApplicationsLai-Jun ZhaoJian-Wen PengWe introduce and study a new system of nonlinear variational inclusions involving a combination of A-Monotone operators and relaxed cocoercive mappings. By using the resolvent technique of the A-monotone operators, we prove the existence and uniqueness of solution and the convergence of a new multistep iterative algorithm for this system of variational inclusions. The results in this paper unify, extend, and improve some known results in literature.http://dx.doi.org/10.1155/2009/364615 |
| spellingShingle | Lai-Jun Zhao Jian-Wen Peng General System of A-Monotone Nonlinear Variational Inclusions Problems with Applications Journal of Inequalities and Applications |
| title | General System of A-Monotone Nonlinear Variational Inclusions Problems with Applications |
| title_full | General System of A-Monotone Nonlinear Variational Inclusions Problems with Applications |
| title_fullStr | General System of A-Monotone Nonlinear Variational Inclusions Problems with Applications |
| title_full_unstemmed | General System of A-Monotone Nonlinear Variational Inclusions Problems with Applications |
| title_short | General System of A-Monotone Nonlinear Variational Inclusions Problems with Applications |
| title_sort | general system of a monotone nonlinear variational inclusions problems with applications |
| url | http://dx.doi.org/10.1155/2009/364615 |
| work_keys_str_mv | AT laijunzhao generalsystemofamonotonenonlinearvariationalinclusionsproblemswithapplications AT jianwenpeng generalsystemofamonotonenonlinearvariationalinclusionsproblemswithapplications |