Weak and strong convergence to common fixed points of a countable family of multi-valued mappings in Banach spaces
In this paper, we introduce a modified Mann iteration for a countable family of multi-valued mappings. We use the best approximation operator to obtain weak and strong convergence theorems in a Banach space. We apply the main results to the problem of finding a common fixed point of a countable fami...
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2014
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th-cmuir.6653943832-64172014-08-30T03:24:11Z Weak and strong convergence to common fixed points of a countable family of multi-valued mappings in Banach spaces Cholamjiak P. Cholamjiak W. Cho Y.J. Suantai S. In this paper, we introduce a modified Mann iteration for a countable family of multi-valued mappings. We use the best approximation operator to obtain weak and strong convergence theorems in a Banach space. We apply the main results to the problem of finding a common fixed point of a countable family of nonexpansive multi-valued mappings. © 2011 by the Mathematical Association of Thailand. 2014-08-30T03:24:11Z 2014-08-30T03:24:11Z 2011 Article 16860209 http://www.scopus.com/inward/record.url?eid=2-s2.0-83255161981&partnerID=40&md5=e56667df5084a434862b96f2d999f8f2 http://cmuir.cmu.ac.th/handle/6653943832/6417 English |
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In this paper, we introduce a modified Mann iteration for a countable family of multi-valued mappings. We use the best approximation operator to obtain weak and strong convergence theorems in a Banach space. We apply the main results to the problem of finding a common fixed point of a countable family of nonexpansive multi-valued mappings. © 2011 by the Mathematical Association of Thailand. |
| format |
Article |
| author |
Cholamjiak P. Cholamjiak W. Cho Y.J. Suantai S. |
| spellingShingle |
Cholamjiak P. Cholamjiak W. Cho Y.J. Suantai S. Weak and strong convergence to common fixed points of a countable family of multi-valued mappings in Banach spaces |
| author_facet |
Cholamjiak P. Cholamjiak W. Cho Y.J. Suantai S. |
| author_sort |
Cholamjiak P. |
| title |
Weak and strong convergence to common fixed points of a countable family of multi-valued mappings in Banach spaces |
| title_short |
Weak and strong convergence to common fixed points of a countable family of multi-valued mappings in Banach spaces |
| title_full |
Weak and strong convergence to common fixed points of a countable family of multi-valued mappings in Banach spaces |
| title_fullStr |
Weak and strong convergence to common fixed points of a countable family of multi-valued mappings in Banach spaces |
| title_full_unstemmed |
Weak and strong convergence to common fixed points of a countable family of multi-valued mappings in Banach spaces |
| title_sort |
weak and strong convergence to common fixed points of a countable family of multi-valued mappings in banach spaces |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-83255161981&partnerID=40&md5=e56667df5084a434862b96f2d999f8f2 http://cmuir.cmu.ac.th/handle/6653943832/6417 |
| _version_ |
1681420609810071552 |