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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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
2014
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| Online Access: | http://www.scopus.com/inward/record.url?eid=2-s2.0-83255161981&partnerID=40&md5=e56667df5084a434862b96f2d999f8f2 http://cmuir.cmu.ac.th/handle/6653943832/6417 |
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| Institution: | Chiang Mai University |
| Language: | English |
| Summary: | 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. |
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