Strong convergence of generalized projection algorithms for nonlinear operators

We establish strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of two relatively nonexpansive mappings in a Banach space by using a new hybrid method. Moreover we apply our main results to obtain strong convergence f...

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Bibliographic Details
Main Authors: Wataru Takahashi, Chakkrid Klin-Eam, Suthep Suantai
Format: Journal
Published: 2018
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Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=71049120177&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/59717
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Institution: Chiang Mai University
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Summary:We establish strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of two relatively nonexpansive mappings in a Banach space by using a new hybrid method. Moreover we apply our main results to obtain strong convergence for a maximal monotone operator and two nonexpansive mappings in a Hilbert space. Copyright © 2009 Chakkrid Klin-eam et al.