Strong convergence of an explicit iteration process for a totally asymptotically II-nonexpansive mapping in Banach spaces
In this work we prove the strong convergence of an explicit iterative process to a common fixed point of a totally asymptotically I-nonexpansive mapping T and a totally asymptotically nonexpansive mapping I, defined on a nonempty closed convex subset of a uniformly convex Banach space.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2010
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| Online Access: | http://irep.iium.edu.my/1596/ http://irep.iium.edu.my/1596/1/mfms-AML%282010%29.pdf |
| _version_ | 1848775879730135040 |
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| author | Mukhamedov, Farrukh Saburov, Mansoor |
| author_facet | Mukhamedov, Farrukh Saburov, Mansoor |
| author_sort | Mukhamedov, Farrukh |
| building | IIUM Repository |
| collection | Online Access |
| description | In this work we prove the strong convergence of an explicit iterative process to a common fixed point of a totally asymptotically I-nonexpansive mapping T and a totally
asymptotically nonexpansive mapping I, defined on a nonempty closed convex subset of a uniformly convex Banach space. |
| first_indexed | 2025-11-14T14:21:13Z |
| format | Article |
| id | iium-1596 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:21:13Z |
| publishDate | 2010 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-15962012-02-20T02:42:03Z http://irep.iium.edu.my/1596/ Strong convergence of an explicit iteration process for a totally asymptotically II-nonexpansive mapping in Banach spaces Mukhamedov, Farrukh Saburov, Mansoor QA Mathematics In this work we prove the strong convergence of an explicit iterative process to a common fixed point of a totally asymptotically I-nonexpansive mapping T and a totally asymptotically nonexpansive mapping I, defined on a nonempty closed convex subset of a uniformly convex Banach space. Elsevier 2010 Article PeerReviewed application/pdf en http://irep.iium.edu.my/1596/1/mfms-AML%282010%29.pdf Mukhamedov, Farrukh and Saburov, Mansoor (2010) Strong convergence of an explicit iteration process for a totally asymptotically II-nonexpansive mapping in Banach spaces. Applied Mathematics Letters, 23 (12). pp. 1473-1478. ISSN 0893-9659 http://www.sciencedirect.com/science/article/pii/S0893965910002752 doi:10.1016/j.aml.2010.08.016 |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh Saburov, Mansoor Strong convergence of an explicit iteration process for a totally asymptotically II-nonexpansive mapping in Banach spaces |
| title | Strong convergence of an explicit iteration process for a totally asymptotically II-nonexpansive mapping in Banach spaces |
| title_full | Strong convergence of an explicit iteration process for a totally asymptotically II-nonexpansive mapping in Banach spaces |
| title_fullStr | Strong convergence of an explicit iteration process for a totally asymptotically II-nonexpansive mapping in Banach spaces |
| title_full_unstemmed | Strong convergence of an explicit iteration process for a totally asymptotically II-nonexpansive mapping in Banach spaces |
| title_short | Strong convergence of an explicit iteration process for a totally asymptotically II-nonexpansive mapping in Banach spaces |
| title_sort | strong convergence of an explicit iteration process for a totally asymptotically ii-nonexpansive mapping in banach spaces |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/1596/ http://irep.iium.edu.my/1596/ http://irep.iium.edu.my/1596/ http://irep.iium.edu.my/1596/1/mfms-AML%282010%29.pdf |