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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/35488/ http://psasir.upm.edu.my/id/eprint/35488/1/Strong%20Convergence%20for%20the%20Split%20Common%20Fixed-Point%20Problem.pdf |
| _version_ | 1848848069417762816 |
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| author | Mohammed, Lawan Bulama Kilicman, Adem |
| author_facet | Mohammed, Lawan Bulama Kilicman, Adem |
| author_sort | Mohammed, Lawan Bulama |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T09:28:38Z |
| format | Article |
| id | upm-35488 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:28:38Z |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Mohammed, Lawan Bulama Kilicman, Adem Strong convergence for the split common fixed-point problem for total quasi-asymptotically nonexpansive mappings in Hilbert space |
| 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://psasir.upm.edu.my/id/eprint/35488/ http://psasir.upm.edu.my/id/eprint/35488/ http://psasir.upm.edu.my/id/eprint/35488/ http://psasir.upm.edu.my/id/eprint/35488/1/Strong%20Convergence%20for%20the%20Split%20Common%20Fixed-Point%20Problem.pdf |