Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in banach space
We prove the weak and strong convergence of the implicit iterative process to a common fixed point of an asymptotically quasi-I-nonexpansive mapping T and an asymptotically quasinonexpansive mapping I, defined on a nonempty closed convex subset of a Banach space.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2010
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/1571/ http://irep.iium.edu.my/1571/1/mfsm-fixed-point-th%282010%29.pdf |
| _version_ | 1848775875738206208 |
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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 | We prove the weak and strong convergence of the implicit iterative process to a common fixed point of an asymptotically quasi-I-nonexpansive mapping T and an asymptotically quasinonexpansive mapping I, defined on a nonempty closed convex subset of a Banach space. |
| first_indexed | 2025-11-14T14:21:09Z |
| format | Article |
| id | iium-1571 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:21:09Z |
| publishDate | 2010 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-15712011-10-04T00:31:48Z http://irep.iium.edu.my/1571/ Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in banach space Mukhamedov, Farrukh Saburov, Mansoor QA Mathematics We prove the weak and strong convergence of the implicit iterative process to a common fixed point of an asymptotically quasi-I-nonexpansive mapping T and an asymptotically quasinonexpansive mapping I, defined on a nonempty closed convex subset of a Banach space. Hindawi Publishing Corporation 2010 Article PeerReviewed application/pdf en http://irep.iium.edu.my/1571/1/mfsm-fixed-point-th%282010%29.pdf Mukhamedov, Farrukh and Saburov, Mansoor (2010) Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in banach space. Fixed Point Theory and Applications, 2010. pp. 1-14. ISSN 1687-1820 http://www.hindawi.com/journals/fpta/ 10.1155/2010/719631 |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh Saburov, Mansoor Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in banach space |
| title | Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in banach space |
| title_full | Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in banach space |
| title_fullStr | Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in banach space |
| title_full_unstemmed | Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in banach space |
| title_short | Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in banach space |
| title_sort | weak and strong convergence of an implicit iteration process for an asymptotically quasi-i-nonexpansive mapping in banach space |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/1571/ http://irep.iium.edu.my/1571/ http://irep.iium.edu.my/1571/ http://irep.iium.edu.my/1571/1/mfsm-fixed-point-th%282010%29.pdf |