A Strong Convergence Theorem for Total Asymptotically Pseudocontractive Mappings in Hilbert Spaces
Demiclosedness principle for total asymptotically pseudocontractive mappings in Hilbert spaces is established. The strong convergence to a fixed point of total asymptotically pseudocontraction in Hilbert spaces is obtained based on demiclosedness principle, metric projective operator, and hybrid ite...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/127851 |
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| _version_ | 1832559803663122432 |
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| author | Chuan Ding Jing Quan |
| author_facet | Chuan Ding Jing Quan |
| author_sort | Chuan Ding |
| collection | DOAJ |
| description | Demiclosedness principle for total asymptotically pseudocontractive mappings in Hilbert spaces is established. The strong convergence to a fixed point of total asymptotically pseudocontraction in Hilbert spaces is obtained based on demiclosedness principle, metric projective operator, and hybrid iterative method. The main results presented in this paper extend and improve the corresponding results of Zhou (2009), Qin, Cho, and Kang (2011) and of many other authors. |
| format | Article |
| id | doaj-art-f522879dbb68465caf3129ad70c2e937 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f522879dbb68465caf3129ad70c2e9372025-02-03T01:29:12ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/127851127851A Strong Convergence Theorem for Total Asymptotically Pseudocontractive Mappings in Hilbert SpacesChuan Ding0Jing Quan1School of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, ChinaDepartment of Mathematics, Yibin University, Yibin, Sichuan 644007, ChinaDemiclosedness principle for total asymptotically pseudocontractive mappings in Hilbert spaces is established. The strong convergence to a fixed point of total asymptotically pseudocontraction in Hilbert spaces is obtained based on demiclosedness principle, metric projective operator, and hybrid iterative method. The main results presented in this paper extend and improve the corresponding results of Zhou (2009), Qin, Cho, and Kang (2011) and of many other authors.http://dx.doi.org/10.1155/2012/127851 |
| spellingShingle | Chuan Ding Jing Quan A Strong Convergence Theorem for Total Asymptotically Pseudocontractive Mappings in Hilbert Spaces Abstract and Applied Analysis |
| title | A Strong Convergence Theorem for Total Asymptotically Pseudocontractive Mappings in Hilbert Spaces |
| title_full | A Strong Convergence Theorem for Total Asymptotically Pseudocontractive Mappings in Hilbert Spaces |
| title_fullStr | A Strong Convergence Theorem for Total Asymptotically Pseudocontractive Mappings in Hilbert Spaces |
| title_full_unstemmed | A Strong Convergence Theorem for Total Asymptotically Pseudocontractive Mappings in Hilbert Spaces |
| title_short | A Strong Convergence Theorem for Total Asymptotically Pseudocontractive Mappings in Hilbert Spaces |
| title_sort | strong convergence theorem for total asymptotically pseudocontractive mappings in hilbert spaces |
| url | http://dx.doi.org/10.1155/2012/127851 |
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