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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...

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Main Authors: Mohammed, Lawan Bulama, Kilicman, Adem
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2014
Online Access:http://psasir.upm.edu.my/id/eprint/35488/1/Strong%20Convergence%20for%20the%20Split%20Common%20Fixed-Point%20Problem.pdf
http://psasir.upm.edu.my/id/eprint/35488/
http://www.hindawi.com/journals/aaa/2015/412318/abs/
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spelling my.upm.eprints.354882016-01-11T03:12:01Z http://psasir.upm.edu.my/id/eprint/35488/ Strong convergence for the split common fixed-point problem for total quasi-asymptotically nonexpansive mappings in Hilbert space Mohammed, Lawan Bulama Kilicman, Adem 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. Hindawi Publishing Corporation 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/35488/1/Strong%20Convergence%20for%20the%20Split%20Common%20Fixed-Point%20Problem.pdf Mohammed, Lawan Bulama and Kilicman, Adem (2014) Strong convergence for the split common fixed-point problem for total quasi-asymptotically nonexpansive mappings in Hilbert space. Abstract and Applied Analysis, 2015. art. no. 412318. pp. 1-7. ISSN 1085-3375; ESSN: 1687-0409 http://www.hindawi.com/journals/aaa/2015/412318/abs/ 10.1155/2015/412318
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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.
format Article
author Mohammed, Lawan Bulama
Kilicman, Adem
spellingShingle Mohammed, Lawan Bulama
Kilicman, Adem
Strong convergence for the split common fixed-point problem for total quasi-asymptotically nonexpansive mappings in Hilbert space
author_facet Mohammed, Lawan Bulama
Kilicman, Adem
author_sort Mohammed, Lawan Bulama
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 Publishing Corporation
publishDate 2014
url http://psasir.upm.edu.my/id/eprint/35488/1/Strong%20Convergence%20for%20the%20Split%20Common%20Fixed-Point%20Problem.pdf
http://psasir.upm.edu.my/id/eprint/35488/
http://www.hindawi.com/journals/aaa/2015/412318/abs/
_version_ 1643831468644892672
score 13.18916

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