Strong Convergence Theorems for a Countable Family of Total Quasi-ϕ-Asymptotically Nonexpansive Nonself Mappings
The purpose of this paper is to introduce a class of total quasi-ϕ-asymptotically nonexpansive-nonself mappings and to study the strong convergence under a limit condition only in the framework of Banach spaces. As an application, we utilize our results to study the approximation problem of solution...
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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/10.1155/2012/136134 |
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| _version_ | 1832556529358733312 |
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| author | Liang-cai Zhao Shih-sen Chang |
| author_facet | Liang-cai Zhao Shih-sen Chang |
| author_sort | Liang-cai Zhao |
| collection | DOAJ |
| description | The purpose of this paper is to introduce a class of total quasi-ϕ-asymptotically nonexpansive-nonself mappings and to study the strong convergence under a limit condition only in the framework of Banach spaces. As an application, we utilize our results to study the approximation problem of solution to a system of equilibrium problems. The results presented in the paper extend and improve the corresponding results announced by some authors recently. |
| format | Article |
| id | doaj-art-059a9494af4e4ddf9b384a10223a848f |
| 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-059a9494af4e4ddf9b384a10223a848f2025-02-03T05:45:09ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/136134136134Strong Convergence Theorems for a Countable Family of Total Quasi-ϕ-Asymptotically Nonexpansive Nonself MappingsLiang-cai Zhao0Shih-sen Chang1College of Mathematics, Yibin University, Yibin 644000, ChinaCollege of Statistics and Mathematics, Yunnan University of Finance and Economics, Yunnan, Kunming 650221, ChinaThe purpose of this paper is to introduce a class of total quasi-ϕ-asymptotically nonexpansive-nonself mappings and to study the strong convergence under a limit condition only in the framework of Banach spaces. As an application, we utilize our results to study the approximation problem of solution to a system of equilibrium problems. The results presented in the paper extend and improve the corresponding results announced by some authors recently.http://dx.doi.org/10.1155/2012/136134 |
| spellingShingle | Liang-cai Zhao Shih-sen Chang Strong Convergence Theorems for a Countable Family of Total Quasi-ϕ-Asymptotically Nonexpansive Nonself Mappings Journal of Applied Mathematics |
| title | Strong Convergence Theorems for a Countable Family of Total Quasi-ϕ-Asymptotically Nonexpansive Nonself Mappings |
| title_full | Strong Convergence Theorems for a Countable Family of Total Quasi-ϕ-Asymptotically Nonexpansive Nonself Mappings |
| title_fullStr | Strong Convergence Theorems for a Countable Family of Total Quasi-ϕ-Asymptotically Nonexpansive Nonself Mappings |
| title_full_unstemmed | Strong Convergence Theorems for a Countable Family of Total Quasi-ϕ-Asymptotically Nonexpansive Nonself Mappings |
| title_short | Strong Convergence Theorems for a Countable Family of Total Quasi-ϕ-Asymptotically Nonexpansive Nonself Mappings |
| title_sort | strong convergence theorems for a countable family of total quasi ϕ asymptotically nonexpansive nonself mappings |
| url | http://dx.doi.org/10.1155/2012/136134 |
| work_keys_str_mv | AT liangcaizhao strongconvergencetheoremsforacountablefamilyoftotalquasiphasymptoticallynonexpansivenonselfmappings AT shihsenchang strongconvergencetheoremsforacountablefamilyoftotalquasiphasymptoticallynonexpansivenonselfmappings |