Strong Convergence for the Split Common Fixed-Point Problem for Total Quasi-Asymptotically Nonexpansive Mappings in Hilbert Space

Strong Convergence for the Split Common Fixed-Point Problem for Total Quasi-Asymptotically Nonexpansive Mappings in Hilbert Space

In this paper, we study and modify the algorithm of Kraikaew and Saejung for the class of total quasi-asymptotically nonexpansive case so that the strong convergence is guaranteed for the solution of split common fixed-point problems in Hilbert space. Moreover, we justify our result through an examp...

Full description

Bibliographic Details
Main Authors: Lawan Bulama Mohammed, A. Kılıçman
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2015/412318
id doaj-792a05a63f1a49a8ab34a9a00f55f008
record_format Article
spelling doaj-792a05a63f1a49a8ab34a9a00f55f0082020-11-24T22:17:06ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/412318412318Strong Convergence for the Split Common Fixed-Point Problem for Total Quasi-Asymptotically Nonexpansive Mappings in Hilbert SpaceLawan Bulama Mohammed0A. Kılıçman1Department of Mathematics, University Putra Malaysia, 43400 Serdang, Selangor, MalaysiaDepartment of Mathematics and Institute for Mathematics Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaIn this paper, we study and modify the algorithm of Kraikaew and Saejung for the class of total quasi-asymptotically nonexpansive case so that the strong convergence is guaranteed for the solution of split common fixed-point problems in Hilbert space. Moreover, we justify our result through an example. The results presented in this paper not only extend the result of Kraikaew and Saejung but also extend, improve, and generalize some existing results in the literature.http://dx.doi.org/10.1155/2015/412318
collection DOAJ
language English
format Article
sources DOAJ
author Lawan Bulama Mohammed
A. Kılıçman
spellingShingle Lawan Bulama Mohammed
A. Kılıçman
Strong Convergence for the Split Common Fixed-Point Problem for Total Quasi-Asymptotically Nonexpansive Mappings in Hilbert Space
Abstract and Applied Analysis
author_facet Lawan Bulama Mohammed
A. Kılıçman
author_sort Lawan Bulama Mohammed
title Strong Convergence for the Split Common Fixed-Point Problem for Total Quasi-Asymptotically Nonexpansive Mappings in Hilbert Space
title_short Strong Convergence for the Split Common Fixed-Point Problem for Total Quasi-Asymptotically Nonexpansive Mappings in Hilbert Space
title_full Strong Convergence for the Split Common Fixed-Point Problem for Total Quasi-Asymptotically Nonexpansive Mappings in Hilbert Space
title_fullStr Strong Convergence for the Split Common Fixed-Point Problem for Total Quasi-Asymptotically Nonexpansive Mappings in Hilbert Space
title_full_unstemmed Strong Convergence for the Split Common Fixed-Point Problem for Total Quasi-Asymptotically Nonexpansive Mappings in Hilbert Space
title_sort strong convergence for the split common fixed-point problem for total quasi-asymptotically nonexpansive mappings in hilbert space
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2015-01-01
description In this paper, we study and modify the algorithm of Kraikaew and Saejung for the class of total quasi-asymptotically nonexpansive case so that the strong convergence is guaranteed for the solution of split common fixed-point problems in Hilbert space. Moreover, we justify our result through an example. The results presented in this paper not only extend the result of Kraikaew and Saejung but also extend, improve, and generalize some existing results in the literature.
url http://dx.doi.org/10.1155/2015/412318
work_keys_str_mv AT lawanbulamamohammed strongconvergenceforthesplitcommonfixedpointproblemfortotalquasiasymptoticallynonexpansivemappingsinhilbertspace
AT akılıcman strongconvergenceforthesplitcommonfixedpointproblemfortotalquasiasymptoticallynonexpansivemappingsinhilbertspace
_version_ 1725786500680908800

Similar Items