Convergence Theorems for Total Asymptotically Nonexpansive Mappings in Hyperbolic Spaces
The purpose of this paper is to introduce the concept of total asymptotically nonexpansive mappings and to prove some Δ-convergence theorems of the iteration process for this kind of mappings in the setting of hyperbolic spaces. The results presented in the paper extend and improve some recent resul...
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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: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/689765 |
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| _version_ | 1849396571497562112 |
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| author | Liang-cai Zhao Shih-sen Chang Xiong Rui Wang |
| author_facet | Liang-cai Zhao Shih-sen Chang Xiong Rui Wang |
| author_sort | Liang-cai Zhao |
| collection | DOAJ |
| description | The purpose of this paper is to introduce the concept of total asymptotically nonexpansive mappings and to prove some Δ-convergence theorems of the iteration process for this kind of mappings in the setting of hyperbolic spaces. The results presented in the paper extend and improve some recent results announced in the current literature. |
| format | Article |
| id | doaj-art-afc376dc7d024f67b4075d2199a32bde |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-afc376dc7d024f67b4075d2199a32bde2025-08-20T03:39:18ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/689765689765Convergence Theorems for Total Asymptotically Nonexpansive Mappings in Hyperbolic SpacesLiang-cai Zhao0Shih-sen Chang1Xiong Rui Wang2Institute of Mathematics, Yibin University, Yibin, Sichuan 644000, ChinaCollege of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan 650221, ChinaInstitute of Mathematics, Yibin University, Yibin, Sichuan 644000, ChinaThe purpose of this paper is to introduce the concept of total asymptotically nonexpansive mappings and to prove some Δ-convergence theorems of the iteration process for this kind of mappings in the setting of hyperbolic spaces. The results presented in the paper extend and improve some recent results announced in the current literature.http://dx.doi.org/10.1155/2013/689765 |
| spellingShingle | Liang-cai Zhao Shih-sen Chang Xiong Rui Wang Convergence Theorems for Total Asymptotically Nonexpansive Mappings in Hyperbolic Spaces Journal of Applied Mathematics |
| title | Convergence Theorems for Total Asymptotically Nonexpansive Mappings in Hyperbolic Spaces |
| title_full | Convergence Theorems for Total Asymptotically Nonexpansive Mappings in Hyperbolic Spaces |
| title_fullStr | Convergence Theorems for Total Asymptotically Nonexpansive Mappings in Hyperbolic Spaces |
| title_full_unstemmed | Convergence Theorems for Total Asymptotically Nonexpansive Mappings in Hyperbolic Spaces |
| title_short | Convergence Theorems for Total Asymptotically Nonexpansive Mappings in Hyperbolic Spaces |
| title_sort | convergence theorems for total asymptotically nonexpansive mappings in hyperbolic spaces |
| url | http://dx.doi.org/10.1155/2013/689765 |
| work_keys_str_mv | AT liangcaizhao convergencetheoremsfortotalasymptoticallynonexpansivemappingsinhyperbolicspaces AT shihsenchang convergencetheoremsfortotalasymptoticallynonexpansivemappingsinhyperbolicspaces AT xiongruiwang convergencetheoremsfortotalasymptoticallynonexpansivemappingsinhyperbolicspaces |