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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| _version_ | 1832550200946720768 |
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| author | S. Imnang S. Suantai |
| author_facet | S. Imnang S. Suantai |
| author_sort | S. Imnang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-2f8ed86c3d04497189c8078560f36f7b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2f8ed86c3d04497189c8078560f36f7b2025-02-03T06:07:28ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/728510728510Common Fixed Points of Multistep Noor Iterations with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive MappingsS. Imnang0S. Suantai1Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandDepartment of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandWe 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.http://dx.doi.org/10.1155/2009/728510 |
| spellingShingle | S. Imnang S. Suantai Common Fixed Points of Multistep Noor Iterations with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappings Abstract and Applied Analysis |
| title | Common Fixed Points of Multistep Noor Iterations with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappings |
| title_full | Common Fixed Points of Multistep Noor Iterations with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappings |
| title_fullStr | Common Fixed Points of Multistep Noor Iterations with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappings |
| title_full_unstemmed | Common Fixed Points of Multistep Noor Iterations with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappings |
| title_short | Common Fixed Points of Multistep Noor Iterations with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappings |
| title_sort | common fixed points of multistep noor iterations with errors for a finite family of generalized asymptotically quasi nonexpansive mappings |
| url | http://dx.doi.org/10.1155/2009/728510 |
| work_keys_str_mv | AT simnang commonfixedpointsofmultistepnooriterationswitherrorsforafinitefamilyofgeneralizedasymptoticallyquasinonexpansivemappings AT ssuantai commonfixedpointsofmultistepnooriterationswitherrorsforafinitefamilyofgeneralizedasymptoticallyquasinonexpansivemappings |