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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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/412318 |
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| author | Lawan Bulama Mohammed A. Kılıçman |
| author_facet | Lawan Bulama Mohammed A. Kılıçman |
| author_sort | Lawan Bulama Mohammed |
| collection | DOAJ |
| 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 |
| id | doaj-art-792a05a63f1a49a8ab34a9a00f55f008 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-792a05a63f1a49a8ab34a9a00f55f0082025-02-03T06:01:10ZengWileyAbstract 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2015/412318 |
| work_keys_str_mv | AT lawanbulamamohammed strongconvergenceforthesplitcommonfixedpointproblemfortotalquasiasymptoticallynonexpansivemappingsinhilbertspace AT akılıcman strongconvergenceforthesplitcommonfixedpointproblemfortotalquasiasymptoticallynonexpansivemappingsinhilbertspace |