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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |