On a variational inequality problem for a finite family of nonexpansive mappings in Hilbert spaces
In this paper, we prove the strong convergence of the explicit iterative process to a common fixed point of the finite family of nonexpansive mappings defined on Hilbert space, which solves the variational inequality on the fixed points set.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Pushpa Publishing House, Allahabad, Uttar Pradesh, India
2010
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| Online Access: | http://irep.iium.edu.my/1601/ http://irep.iium.edu.my/1601/1/mfsm-JP-fixedPT%282010%29.pdf |
| _version_ | 1848775881097478144 |
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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 paper, we prove the strong convergence of the explicit iterative process to a common fixed point of the finite family of nonexpansive mappings defined on Hilbert space, which solves the variational inequality on the fixed points set. |
| first_indexed | 2025-11-14T14:21:14Z |
| format | Article |
| id | iium-1601 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:21:14Z |
| publishDate | 2010 |
| publisher | Pushpa Publishing House, Allahabad, Uttar Pradesh, India |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-16012012-12-28T06:33:36Z http://irep.iium.edu.my/1601/ On a variational inequality problem for a finite family of nonexpansive mappings in Hilbert spaces Mukhamedov, Farrukh Saburov, Mansoor QA Mathematics In this paper, we prove the strong convergence of the explicit iterative process to a common fixed point of the finite family of nonexpansive mappings defined on Hilbert space, which solves the variational inequality on the fixed points set. Pushpa Publishing House, Allahabad, Uttar Pradesh, India 2010-12 Article PeerReviewed application/pdf en http://irep.iium.edu.my/1601/1/mfsm-JP-fixedPT%282010%29.pdf Mukhamedov, Farrukh and Saburov, Mansoor (2010) On a variational inequality problem for a finite family of nonexpansive mappings in Hilbert spaces. JP Journal of Fixed Point Theory and Applications, 5 (3). pp. 157-170. ISSN 0973-4228 http://www.pphmj.com/abstract/5591.htm |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh Saburov, Mansoor On a variational inequality problem for a finite family of nonexpansive mappings in Hilbert spaces |
| title | On a variational inequality problem for a finite family of nonexpansive mappings in Hilbert spaces |
| title_full | On a variational inequality problem for a finite family of nonexpansive mappings in Hilbert spaces |
| title_fullStr | On a variational inequality problem for a finite family of nonexpansive mappings in Hilbert spaces |
| title_full_unstemmed | On a variational inequality problem for a finite family of nonexpansive mappings in Hilbert spaces |
| title_short | On a variational inequality problem for a finite family of nonexpansive mappings in Hilbert spaces |
| title_sort | on a variational inequality problem for a finite family of nonexpansive mappings in hilbert spaces |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/1601/ http://irep.iium.edu.my/1601/ http://irep.iium.edu.my/1601/1/mfsm-JP-fixedPT%282010%29.pdf |