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: Cholamjiak P., Cholamjiak W., Cho Y.J., Suantai S.
格式: Article
語言:English
出版: 2014
在線閱讀: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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機構: Chiang Mai University
語言: English
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總結: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.