Strong Convergence for a Strongly Quasi-Nonexpansive Sequence in Hilbert Spaces
We prove a strong convergence theorem for strongly quasi-nonexpansive sequence of mappings in Hilbert spaces. Moreover, we can improve the recent results of Tian and Jin (2011). We also give a simple proof of Marino-Xu’s result (2006).
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/174302 |
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| _version_ | 1832550200029216768 |
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| author | Satit Saejung Kanokwan Wongchan |
| author_facet | Satit Saejung Kanokwan Wongchan |
| author_sort | Satit Saejung |
| collection | DOAJ |
| description | We prove a strong convergence theorem for strongly quasi-nonexpansive sequence of mappings in Hilbert spaces. Moreover, we can improve the recent results of Tian and Jin (2011). We also give a simple proof of Marino-Xu’s result (2006). |
| format | Article |
| id | doaj-art-2b9169dec2e5404e89e69e97c6351350 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2b9169dec2e5404e89e69e97c63513502025-02-03T06:07:24ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/174302174302Strong Convergence for a Strongly Quasi-Nonexpansive Sequence in Hilbert SpacesSatit Saejung0Kanokwan Wongchan1Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandDepartment of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandWe prove a strong convergence theorem for strongly quasi-nonexpansive sequence of mappings in Hilbert spaces. Moreover, we can improve the recent results of Tian and Jin (2011). We also give a simple proof of Marino-Xu’s result (2006).http://dx.doi.org/10.1155/2013/174302 |
| spellingShingle | Satit Saejung Kanokwan Wongchan Strong Convergence for a Strongly Quasi-Nonexpansive Sequence in Hilbert Spaces Abstract and Applied Analysis |
| title | Strong Convergence for a Strongly Quasi-Nonexpansive Sequence in Hilbert Spaces |
| title_full | Strong Convergence for a Strongly Quasi-Nonexpansive Sequence in Hilbert Spaces |
| title_fullStr | Strong Convergence for a Strongly Quasi-Nonexpansive Sequence in Hilbert Spaces |
| title_full_unstemmed | Strong Convergence for a Strongly Quasi-Nonexpansive Sequence in Hilbert Spaces |
| title_short | Strong Convergence for a Strongly Quasi-Nonexpansive Sequence in Hilbert Spaces |
| title_sort | strong convergence for a strongly quasi nonexpansive sequence in hilbert spaces |
| url | http://dx.doi.org/10.1155/2013/174302 |
| work_keys_str_mv | AT satitsaejung strongconvergenceforastronglyquasinonexpansivesequenceinhilbertspaces AT kanokwanwongchan strongconvergenceforastronglyquasinonexpansivesequenceinhilbertspaces |