Strong Convergence of Iterative Algorithm for a New System of Generalized H·,·-η-Cocoercive Operator Inclusions in Banach Spaces
We introduce and study a new system of generalized H·,·-η-cocoercive operator inclusions in Banach spaces. Using the resolvent operator technique associated with H·,·-η-cocoercive operators, we suggest and analyze a new generalized algorithm of nonlinear set-valued variational inclusions and establi...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/540108 |
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| _version_ | 1832553613008830464 |
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| author | Saud M. Alsulami Eskandar Naraghirad Nawab Hussain |
| author_facet | Saud M. Alsulami Eskandar Naraghirad Nawab Hussain |
| author_sort | Saud M. Alsulami |
| collection | DOAJ |
| description | We introduce and study a new system of generalized H·,·-η-cocoercive operator inclusions in Banach spaces. Using the resolvent operator technique associated with H·,·-η-cocoercive operators, we suggest and analyze a new generalized algorithm of nonlinear set-valued variational inclusions and establish strong convergence of iterative sequences produced by the method. We highlight the applicability of our results by examples in function spaces. |
| format | Article |
| id | doaj-art-8108d0d0fd3142aaa57937245cb4cd80 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8108d0d0fd3142aaa57937245cb4cd802025-02-03T05:53:40ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/540108540108Strong Convergence of Iterative Algorithm for a New System of Generalized H·,·-η-Cocoercive Operator Inclusions in Banach SpacesSaud M. Alsulami0Eskandar Naraghirad1Nawab Hussain2Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Yasouj University, Yasouj 75918, IranDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaWe introduce and study a new system of generalized H·,·-η-cocoercive operator inclusions in Banach spaces. Using the resolvent operator technique associated with H·,·-η-cocoercive operators, we suggest and analyze a new generalized algorithm of nonlinear set-valued variational inclusions and establish strong convergence of iterative sequences produced by the method. We highlight the applicability of our results by examples in function spaces.http://dx.doi.org/10.1155/2013/540108 |
| spellingShingle | Saud M. Alsulami Eskandar Naraghirad Nawab Hussain Strong Convergence of Iterative Algorithm for a New System of Generalized H·,·-η-Cocoercive Operator Inclusions in Banach Spaces Abstract and Applied Analysis |
| title | Strong Convergence of Iterative Algorithm for a New System of Generalized H·,·-η-Cocoercive Operator Inclusions in Banach Spaces |
| title_full | Strong Convergence of Iterative Algorithm for a New System of Generalized H·,·-η-Cocoercive Operator Inclusions in Banach Spaces |
| title_fullStr | Strong Convergence of Iterative Algorithm for a New System of Generalized H·,·-η-Cocoercive Operator Inclusions in Banach Spaces |
| title_full_unstemmed | Strong Convergence of Iterative Algorithm for a New System of Generalized H·,·-η-Cocoercive Operator Inclusions in Banach Spaces |
| title_short | Strong Convergence of Iterative Algorithm for a New System of Generalized H·,·-η-Cocoercive Operator Inclusions in Banach Spaces |
| title_sort | strong convergence of iterative algorithm for a new system of generalized h· · η cocoercive operator inclusions in banach spaces |
| url | http://dx.doi.org/10.1155/2013/540108 |
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