Strong Convergence on Iterative Methods of Cesàro Means for Nonexpansive Mapping in Banach Space
Two new iterations with Cesàro's means for nonexpansive mappings are proposed and the strong convergence is obtained as n→∞. Our main results extend and improve the corresponding results of Xu (2004), Song and Chen (2007), and Yao et al. (2009).
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/205875 |
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| _version_ | 1849765513239986176 |
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| author | Zhichuan Zhu Rudong Chen |
| author_facet | Zhichuan Zhu Rudong Chen |
| author_sort | Zhichuan Zhu |
| collection | DOAJ |
| description | Two new iterations with Cesàro's means for nonexpansive mappings are proposed and the strong convergence is obtained as n→∞. Our main results extend and improve the corresponding results of Xu (2004), Song and Chen (2007), and Yao et al. (2009). |
| format | Article |
| id | doaj-art-c2915902bcbd4e82998e59270896b2cf |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c2915902bcbd4e82998e59270896b2cf2025-08-20T03:04:50ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/205875205875Strong Convergence on Iterative Methods of Cesàro Means for Nonexpansive Mapping in Banach SpaceZhichuan Zhu0Rudong Chen1Faculty of Statistics, Jilin University of Finance and Economics, Changchun, Jilin 130117, ChinaDepartment of Mathematics, Tianjin Polytechnic University, Tianjin 300160, ChinaTwo new iterations with Cesàro's means for nonexpansive mappings are proposed and the strong convergence is obtained as n→∞. Our main results extend and improve the corresponding results of Xu (2004), Song and Chen (2007), and Yao et al. (2009).http://dx.doi.org/10.1155/2014/205875 |
| spellingShingle | Zhichuan Zhu Rudong Chen Strong Convergence on Iterative Methods of Cesàro Means for Nonexpansive Mapping in Banach Space Abstract and Applied Analysis |
| title | Strong Convergence on Iterative Methods of Cesàro Means for Nonexpansive Mapping in Banach Space |
| title_full | Strong Convergence on Iterative Methods of Cesàro Means for Nonexpansive Mapping in Banach Space |
| title_fullStr | Strong Convergence on Iterative Methods of Cesàro Means for Nonexpansive Mapping in Banach Space |
| title_full_unstemmed | Strong Convergence on Iterative Methods of Cesàro Means for Nonexpansive Mapping in Banach Space |
| title_short | Strong Convergence on Iterative Methods of Cesàro Means for Nonexpansive Mapping in Banach Space |
| title_sort | strong convergence on iterative methods of cesaro means for nonexpansive mapping in banach space |
| url | http://dx.doi.org/10.1155/2014/205875 |
| work_keys_str_mv | AT zhichuanzhu strongconvergenceoniterativemethodsofcesaromeansfornonexpansivemappinginbanachspace AT rudongchen strongconvergenceoniterativemethodsofcesaromeansfornonexpansivemappinginbanachspace |