Weak and Strong Convergence Theorems for Nonexpansive Mappings in Banach Spaces
The purpose of this paper is to introduce two implicit iteration schemes for approximating fixed points of nonexpansive mapping T and a finite family of nonexpansive mappings {Ti}i=1N, respectively, in Banach spaces and to prove weak and strong convergence theorems. The results presented in this pap...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2008-03-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/2008/751383 |
| _version_ | 1818581605695881216 |
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| author | Jing Zhao Songnian He Yongfu Su |
| author_facet | Jing Zhao Songnian He Yongfu Su |
| author_sort | Jing Zhao |
| collection | DOAJ |
| description | The purpose of this paper is to introduce two implicit iteration schemes for approximating fixed points of nonexpansive mapping T and a finite family of nonexpansive mappings {Ti}i=1N, respectively, in Banach spaces and to prove weak and strong convergence theorems. The results presented in this paper improve and extend the corresponding ones of H.-K. Xu and R. Ori, 2001, Z. Opial, 1967, and others. |
| first_indexed | 2024-12-16T07:36:09Z |
| format | Article |
| id | doaj.art-18ac455c57354db7b9b9c28f8907d72a |
| institution | Directory Open Access Journal |
| issn | 1687-1820 |
| language | English |
| last_indexed | 2024-12-16T07:36:09Z |
| publishDate | 2008-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-18ac455c57354db7b9b9c28f8907d72a2022-12-21T22:39:13ZengSpringerOpenFixed Point Theory and Applications1687-18202008-03-01200810.1155/2008/751383Weak and Strong Convergence Theorems for Nonexpansive Mappings in Banach SpacesJing ZhaoSongnian HeYongfu SuThe purpose of this paper is to introduce two implicit iteration schemes for approximating fixed points of nonexpansive mapping T and a finite family of nonexpansive mappings {Ti}i=1N, respectively, in Banach spaces and to prove weak and strong convergence theorems. The results presented in this paper improve and extend the corresponding ones of H.-K. Xu and R. Ori, 2001, Z. Opial, 1967, and others.http://dx.doi.org/10.1155/2008/751383 |
| spellingShingle | Jing Zhao Songnian He Yongfu Su Weak and Strong Convergence Theorems for Nonexpansive Mappings in Banach Spaces Fixed Point Theory and Applications |
| title | Weak and Strong Convergence Theorems for Nonexpansive Mappings in Banach Spaces |
| title_full | Weak and Strong Convergence Theorems for Nonexpansive Mappings in Banach Spaces |
| title_fullStr | Weak and Strong Convergence Theorems for Nonexpansive Mappings in Banach Spaces |
| title_full_unstemmed | Weak and Strong Convergence Theorems for Nonexpansive Mappings in Banach Spaces |
| title_short | Weak and Strong Convergence Theorems for Nonexpansive Mappings in Banach Spaces |
| title_sort | weak and strong convergence theorems for nonexpansive mappings in banach spaces |
| url | http://dx.doi.org/10.1155/2008/751383 |
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