Common fixed points of a countable family of multivalued quasi-nonexpansive mappings in uniformly convex Banach spaces

In this paper, we introduce a one-step iterative scheme for finding a common fixed point of a countable family of multivalued quasi-nonexpansive mappings in a real uniformly convex Banach space. We establish weak and strong convergence theorems of the proposed iterative scheme under some control con...

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Bibliographic Details
Main Authors: Bunyawat A., Suantai S.
Format: Article
Published: Taylor and Francis Ltd. 2015
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Online Access:http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84870613518&origin=inward
http://cmuir.cmu.ac.th/handle/6653943832/38650
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Institution: Chiang Mai University
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Summary:In this paper, we introduce a one-step iterative scheme for finding a common fixed point of a countable family of multivalued quasi-nonexpansive mappings in a real uniformly convex Banach space. We establish weak and strong convergence theorems of the proposed iterative scheme under some control conditions. © 2012 Copyright Taylor and Francis Group, LLC.