An approximation of a common fixed point of nonexpansive mappings on convex metric spaces

Sokhuma and Kaewkhao (2011) introduced an iteration scheme to compute a common fixed point of a single-valued nonexpansive mapping and a multivalued nonexpansive mapping on a uniformly convex Banach space. In this paper, we extend the above result of Sokhuma and Kaewkhao from a single-valued mapping...

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Bibliographic Details
Main Authors: Anakkamatee W., Dhompongsa S.
Format: Journal
Published: 2017
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84873051012&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/42682
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Institution: Chiang Mai University
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Summary:Sokhuma and Kaewkhao (2011) introduced an iteration scheme to compute a common fixed point of a single-valued nonexpansive mapping and a multivalued nonexpansive mapping on a uniformly convex Banach space. In this paper, we extend the above result of Sokhuma and Kaewkhao from a single-valued mapping to a countable number of mappings and, at the same time, we extend the underlying spaces to strictly convex Banach spaces. The corresponding results are also obtained for the CAT(0) space setting. © 2012 Anakkamatee and Dhompongsa; licensee Springer.