Strong Convergence Theorems for a Finite Family of λi-Strict Pseudocontractions in 2-Uniformly Smooth Banach Spaces by Metric Projections
A new hybrid projection algorithm is considered for a finite family of λi-strict pseudocontractions. Using the metric projection, some strong convergence theorems of common elements are obtained in a uniformly convex and 2-uniformly smooth Banach space. The results presented in this paper improve an...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/759718 |
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| _version_ | 1832563923696484352 |
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| author | Xin-dong Liu Shih-sen Chang Xiong-rui Wang |
| author_facet | Xin-dong Liu Shih-sen Chang Xiong-rui Wang |
| author_sort | Xin-dong Liu |
| collection | DOAJ |
| description | A new hybrid projection algorithm is considered for a finite family of λi-strict
pseudocontractions. Using the metric projection, some strong convergence theorems of common
elements are obtained in a uniformly convex and 2-uniformly smooth Banach space. The results
presented in this paper improve and extend the corresponding results of Matsushita and Takahshi, 2008, Kang and Wang, 2011, and many others. |
| format | Article |
| id | doaj-art-7cd7f2690b53486392833924511b6b2e |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-7cd7f2690b53486392833924511b6b2e2025-02-03T01:12:16ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/759718759718Strong Convergence Theorems for a Finite Family of λi-Strict Pseudocontractions in 2-Uniformly Smooth Banach Spaces by Metric ProjectionsXin-dong Liu0Shih-sen Chang1Xiong-rui Wang2School of Mathematics, Yibin University, Sichuan,Yibin 644007, ChinaCollege of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan 650221, ChinaSchool of Mathematics, Yibin University, Sichuan,Yibin 644007, ChinaA new hybrid projection algorithm is considered for a finite family of λi-strict pseudocontractions. Using the metric projection, some strong convergence theorems of common elements are obtained in a uniformly convex and 2-uniformly smooth Banach space. The results presented in this paper improve and extend the corresponding results of Matsushita and Takahshi, 2008, Kang and Wang, 2011, and many others.http://dx.doi.org/10.1155/2012/759718 |
| spellingShingle | Xin-dong Liu Shih-sen Chang Xiong-rui Wang Strong Convergence Theorems for a Finite Family of λi-Strict Pseudocontractions in 2-Uniformly Smooth Banach Spaces by Metric Projections Journal of Applied Mathematics |
| title | Strong Convergence Theorems for a Finite Family of λi-Strict Pseudocontractions in 2-Uniformly Smooth Banach Spaces by Metric Projections |
| title_full | Strong Convergence Theorems for a Finite Family of λi-Strict Pseudocontractions in 2-Uniformly Smooth Banach Spaces by Metric Projections |
| title_fullStr | Strong Convergence Theorems for a Finite Family of λi-Strict Pseudocontractions in 2-Uniformly Smooth Banach Spaces by Metric Projections |
| title_full_unstemmed | Strong Convergence Theorems for a Finite Family of λi-Strict Pseudocontractions in 2-Uniformly Smooth Banach Spaces by Metric Projections |
| title_short | Strong Convergence Theorems for a Finite Family of λi-Strict Pseudocontractions in 2-Uniformly Smooth Banach Spaces by Metric Projections |
| title_sort | strong convergence theorems for a finite family of λi strict pseudocontractions in 2 uniformly smooth banach spaces by metric projections |
| url | http://dx.doi.org/10.1155/2012/759718 |
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