A New Hybrid Algorithm for λ-Strict Asymptotically Pseudocontractions in 2-Uniformly Smooth Banach Spaces
A new hybrid projection algorithm is considered for a λ-strict asymptotically pseudocontractive mapping. Using the metric projection, a strong convergence theorem is obtained in a uniformly convex and 2-uniformly smooth Banach spaces. The result presented in this paper mainly improves and extends th...
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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/10.1155/2012/673680 |
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| _version_ | 1832556264243068928 |
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| author | Xin-dong Liu Shih-sen Chang |
| author_facet | Xin-dong Liu Shih-sen Chang |
| author_sort | Xin-dong Liu |
| collection | DOAJ |
| description | A new hybrid projection algorithm is considered for a λ-strict asymptotically pseudocontractive mapping. Using the metric projection, a strong convergence theorem is obtained in a uniformly convex and 2-uniformly smooth Banach spaces. The result presented in this paper mainly improves and extends the corresponding results of Matsushita and Takahashi (2008), Dehghan (2011) Kang and Wang (2011), and many others. |
| format | Article |
| id | doaj-art-2e24a50ae4774f7988bb1671d4683037 |
| 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-2e24a50ae4774f7988bb1671d46830372025-02-03T05:45:55ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/673680673680A New Hybrid Algorithm for λ-Strict Asymptotically Pseudocontractions in 2-Uniformly Smooth Banach SpacesXin-dong Liu0Shih-sen Chang1Department of Mathematics, Yibin University, Yibin, Sichuan 644007, ChinaCollege of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan 650221, ChinaA new hybrid projection algorithm is considered for a λ-strict asymptotically pseudocontractive mapping. Using the metric projection, a strong convergence theorem is obtained in a uniformly convex and 2-uniformly smooth Banach spaces. The result presented in this paper mainly improves and extends the corresponding results of Matsushita and Takahashi (2008), Dehghan (2011) Kang and Wang (2011), and many others.http://dx.doi.org/10.1155/2012/673680 |
| spellingShingle | Xin-dong Liu Shih-sen Chang A New Hybrid Algorithm for λ-Strict Asymptotically Pseudocontractions in 2-Uniformly Smooth Banach Spaces Abstract and Applied Analysis |
| title | A New Hybrid Algorithm for λ-Strict Asymptotically Pseudocontractions in 2-Uniformly Smooth Banach Spaces |
| title_full | A New Hybrid Algorithm for λ-Strict Asymptotically Pseudocontractions in 2-Uniformly Smooth Banach Spaces |
| title_fullStr | A New Hybrid Algorithm for λ-Strict Asymptotically Pseudocontractions in 2-Uniformly Smooth Banach Spaces |
| title_full_unstemmed | A New Hybrid Algorithm for λ-Strict Asymptotically Pseudocontractions in 2-Uniformly Smooth Banach Spaces |
| title_short | A New Hybrid Algorithm for λ-Strict Asymptotically Pseudocontractions in 2-Uniformly Smooth Banach Spaces |
| title_sort | new hybrid algorithm for λ strict asymptotically pseudocontractions in 2 uniformly smooth banach spaces |
| url | http://dx.doi.org/10.1155/2012/673680 |
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