Common Fixed Points of Multistep Noor Iterations with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappings
We introduce a general iteration scheme for a finite family of generalized asymptotically quasi-nonexpansive mappings in Banach spaces. The new iterative scheme includes the multistep Noor iterations with errors, modified Mann and Ishikawa iterations, three-step iterative scheme of Xu and Noor, and...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/728510 |
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| Summary: | We introduce a general iteration scheme for a finite family
of generalized asymptotically quasi-nonexpansive mappings in Banach spaces.
The new iterative scheme includes the multistep Noor iterations with errors,
modified Mann and Ishikawa iterations, three-step iterative scheme of Xu and
Noor, and Khan and Takahashi scheme as special cases. Our results generalize
and improve the recent ones announced by Khan et al. (2008),
H. Fukhar-ud-din and S. H. Khan (2007), J. U. Jeong and S. H. Kim (2006),
and many others. |
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| ISSN: | 1085-3375 1687-0409 |