Weak Convergence Theorems on the Split Common Fixed Point Problem for Demicontractive Continuous Mappings

We are concerned with the split common fixed point problem in Hilbert spaces. We propose a new method for solving this problem and establish a weak convergence theorem whenever the involved mappings are demicontractive and Lipschitz continuous. As an application, we also obtain a new method for solv...

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Main Authors:	Huanhuan Cui, Luchuan Ceng, Fenghui Wang
Format:	Article
Language:	English
Published:	Hindawi Limited 2018-01-01
Series:	Journal of Function Spaces
Online Access:	http://dx.doi.org/10.1155/2018/9610257

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record_format	Article
spelling	doaj-d2cdb434c862422ca71656f0ea5d94b92020-11-24T21:02:24ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/96102579610257Weak Convergence Theorems on the Split Common Fixed Point Problem for Demicontractive Continuous MappingsHuanhuan Cui0Luchuan Ceng1Fenghui Wang2Department of Mathematics, Shanghai Normal University, Shanghai 200234, ChinaDepartment of Mathematics, Shanghai Normal University, Shanghai 200234, ChinaDepartment of Mathematics, Luoyang Normal University, Luoyang 471022, ChinaWe are concerned with the split common fixed point problem in Hilbert spaces. We propose a new method for solving this problem and establish a weak convergence theorem whenever the involved mappings are demicontractive and Lipschitz continuous. As an application, we also obtain a new method for solving the split equality problem in Hilbert spaces.http://dx.doi.org/10.1155/2018/9610257
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Huanhuan Cui Luchuan Ceng Fenghui Wang
spellingShingle	Huanhuan Cui Luchuan Ceng Fenghui Wang Weak Convergence Theorems on the Split Common Fixed Point Problem for Demicontractive Continuous Mappings Journal of Function Spaces
author_facet	Huanhuan Cui Luchuan Ceng Fenghui Wang
author_sort	Huanhuan Cui
title	Weak Convergence Theorems on the Split Common Fixed Point Problem for Demicontractive Continuous Mappings
title_short	Weak Convergence Theorems on the Split Common Fixed Point Problem for Demicontractive Continuous Mappings
title_full	Weak Convergence Theorems on the Split Common Fixed Point Problem for Demicontractive Continuous Mappings
title_fullStr	Weak Convergence Theorems on the Split Common Fixed Point Problem for Demicontractive Continuous Mappings
title_full_unstemmed	Weak Convergence Theorems on the Split Common Fixed Point Problem for Demicontractive Continuous Mappings
title_sort	weak convergence theorems on the split common fixed point problem for demicontractive continuous mappings
publisher	Hindawi Limited
series	Journal of Function Spaces
issn	2314-8896 2314-8888
publishDate	2018-01-01
description	We are concerned with the split common fixed point problem in Hilbert spaces. We propose a new method for solving this problem and establish a weak convergence theorem whenever the involved mappings are demicontractive and Lipschitz continuous. As an application, we also obtain a new method for solving the split equality problem in Hilbert spaces.
url	http://dx.doi.org/10.1155/2018/9610257
work_keys_str_mv	AT huanhuancui weakconvergencetheoremsonthesplitcommonfixedpointproblemfordemicontractivecontinuousmappings AT luchuanceng weakconvergencetheoremsonthesplitcommonfixedpointproblemfordemicontractivecontinuousmappings AT fenghuiwang weakconvergencetheoremsonthesplitcommonfixedpointproblemfordemicontractivecontinuousmappings
_version_	1716775478737502208

Weak Convergence Theorems on the Split Common Fixed Point Problem for Demicontractive Continuous Mappings

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