Strong Convergence of the Viscosity Approximation Process for the Split Common Fixed-Point Problem of Quasi-Nonexpansive Mappings

Very recently, Moudafi (2011) introduced an algorithm with weak convergence for the split common fixed-point problem. In this paper, we will continue to consider the split common fixed-point problem. We discuss the strong convergence of the viscosity approximation method for solving the split common...

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Main Authors: Jing Zhao, Songnian He
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/438023
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author Jing Zhao
Songnian He
author_facet Jing Zhao
Songnian He
author_sort Jing Zhao
collection DOAJ
description Very recently, Moudafi (2011) introduced an algorithm with weak convergence for the split common fixed-point problem. In this paper, we will continue to consider the split common fixed-point problem. We discuss the strong convergence of the viscosity approximation method for solving the split common fixed-point problem for the class of quasi-nonexpansive mappings in Hilbert spaces. Our results improve and extend the corresponding results announced by many others.
format Article
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institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2012-01-01
publisher Wiley
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series Journal of Applied Mathematics
spelling doaj-art-40af7e8c808e474b85ad46436038778c2025-02-03T01:03:13ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/438023438023Strong Convergence of the Viscosity Approximation Process for the Split Common Fixed-Point Problem of Quasi-Nonexpansive MappingsJing Zhao0Songnian He1College of Science, Civil Aviation University of China, Tianjin 300300, ChinaCollege of Science, Civil Aviation University of China, Tianjin 300300, ChinaVery recently, Moudafi (2011) introduced an algorithm with weak convergence for the split common fixed-point problem. In this paper, we will continue to consider the split common fixed-point problem. We discuss the strong convergence of the viscosity approximation method for solving the split common fixed-point problem for the class of quasi-nonexpansive mappings in Hilbert spaces. Our results improve and extend the corresponding results announced by many others.http://dx.doi.org/10.1155/2012/438023
spellingShingle Jing Zhao
Songnian He
Strong Convergence of the Viscosity Approximation Process for the Split Common Fixed-Point Problem of Quasi-Nonexpansive Mappings
Journal of Applied Mathematics
title Strong Convergence of the Viscosity Approximation Process for the Split Common Fixed-Point Problem of Quasi-Nonexpansive Mappings
title_full Strong Convergence of the Viscosity Approximation Process for the Split Common Fixed-Point Problem of Quasi-Nonexpansive Mappings
title_fullStr Strong Convergence of the Viscosity Approximation Process for the Split Common Fixed-Point Problem of Quasi-Nonexpansive Mappings
title_full_unstemmed Strong Convergence of the Viscosity Approximation Process for the Split Common Fixed-Point Problem of Quasi-Nonexpansive Mappings
title_short Strong Convergence of the Viscosity Approximation Process for the Split Common Fixed-Point Problem of Quasi-Nonexpansive Mappings
title_sort strong convergence of the viscosity approximation process for the split common fixed point problem of quasi nonexpansive mappings
url http://dx.doi.org/10.1155/2012/438023
work_keys_str_mv AT jingzhao strongconvergenceoftheviscosityapproximationprocessforthesplitcommonfixedpointproblemofquasinonexpansivemappings
AT songnianhe strongconvergenceoftheviscosityapproximationprocessforthesplitcommonfixedpointproblemofquasinonexpansivemappings