Strong Convergence Theorems for Common Fixed Points of an Infinite Family of Asymptotically Nonexpansive Mappings
In the framework of a real Banach space with uniformly Gateaux differentiable norm, some new viscosity iterative sequences {xn} are introduced for an infinite family of asymptotically nonexpansive mappings Tii=1∞ in this paper. Under some appropriate conditions, we prove that the iterative sequences...
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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/10.1155/2014/809528 |
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| _version_ | 1832551947881676800 |
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| author | Yuanheng Wang |
| author_facet | Yuanheng Wang |
| author_sort | Yuanheng Wang |
| collection | DOAJ |
| description | In the framework of a real Banach space with uniformly Gateaux differentiable norm, some new viscosity iterative sequences {xn} are introduced for an infinite family of asymptotically nonexpansive mappings Tii=1∞ in this paper. Under some appropriate conditions, we prove that the iterative sequences {xn} converge strongly to a common fixed point of the mappings Tii=1∞, which is also a solution of a variational inequality. Our results extend and improve some recent results of other authors. |
| format | Article |
| id | doaj-art-5632072b3d6e4f8fbd24b4c4855404cb |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5632072b3d6e4f8fbd24b4c4855404cb2025-02-03T05:59:55ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/809528809528Strong Convergence Theorems for Common Fixed Points of an Infinite Family of Asymptotically Nonexpansive MappingsYuanheng Wang0Department of Mathematics, Zhejiang Normal University, Zhejiang 321004, ChinaIn the framework of a real Banach space with uniformly Gateaux differentiable norm, some new viscosity iterative sequences {xn} are introduced for an infinite family of asymptotically nonexpansive mappings Tii=1∞ in this paper. Under some appropriate conditions, we prove that the iterative sequences {xn} converge strongly to a common fixed point of the mappings Tii=1∞, which is also a solution of a variational inequality. Our results extend and improve some recent results of other authors.http://dx.doi.org/10.1155/2014/809528 |
| spellingShingle | Yuanheng Wang Strong Convergence Theorems for Common Fixed Points of an Infinite Family of Asymptotically Nonexpansive Mappings Abstract and Applied Analysis |
| title | Strong Convergence Theorems for Common Fixed Points of an Infinite Family of Asymptotically Nonexpansive Mappings |
| title_full | Strong Convergence Theorems for Common Fixed Points of an Infinite Family of Asymptotically Nonexpansive Mappings |
| title_fullStr | Strong Convergence Theorems for Common Fixed Points of an Infinite Family of Asymptotically Nonexpansive Mappings |
| title_full_unstemmed | Strong Convergence Theorems for Common Fixed Points of an Infinite Family of Asymptotically Nonexpansive Mappings |
| title_short | Strong Convergence Theorems for Common Fixed Points of an Infinite Family of Asymptotically Nonexpansive Mappings |
| title_sort | strong convergence theorems for common fixed points of an infinite family of asymptotically nonexpansive mappings |
| url | http://dx.doi.org/10.1155/2014/809528 |
| work_keys_str_mv | AT yuanhengwang strongconvergencetheoremsforcommonfixedpointsofaninfinitefamilyofasymptoticallynonexpansivemappings |