Convergence Theorems on a New Iteration Process for Two Asymptotically Nonexpansive Nonself-Mappings with Errors in Banach Spaces
We introduce a new two-step iterative scheme for two asymptotically nonexpansive nonself-mappings in a uniformly convex Banach space. Weak and strong convergence theorems are established for this iterative scheme in a uniformly convex Banach space. The results presented extend and improve the corres...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/307245 |
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| _version_ | 1832552372494139392 |
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| author | Murat Ozdemir Sezgin Akbulut Hukmi Kiziltunc |
| author_facet | Murat Ozdemir Sezgin Akbulut Hukmi Kiziltunc |
| author_sort | Murat Ozdemir |
| collection | DOAJ |
| description | We introduce a new two-step iterative scheme for two asymptotically nonexpansive nonself-mappings in a uniformly convex Banach space. Weak and strong convergence theorems are established for this iterative scheme in a uniformly convex Banach space. The results presented extend and improve the corresponding results of Chidume et al. (2003), Wang (2006), Shahzad (2005), and Thianwan (2008). |
| format | Article |
| id | doaj-art-931ca9ffa7d847d8a3ee4c912a5e9301 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-931ca9ffa7d847d8a3ee4c912a5e93012025-02-03T05:58:48ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/307245307245Convergence Theorems on a New Iteration Process for Two Asymptotically Nonexpansive Nonself-Mappings with Errors in Banach SpacesMurat Ozdemir0Sezgin Akbulut1Hukmi Kiziltunc2Department of Mathematics, Faculty of Science, Ataturk University, Erzurum 25240, TurkeyDepartment of Mathematics, Faculty of Science, Ataturk University, Erzurum 25240, TurkeyDepartment of Mathematics, Faculty of Science, Ataturk University, Erzurum 25240, TurkeyWe introduce a new two-step iterative scheme for two asymptotically nonexpansive nonself-mappings in a uniformly convex Banach space. Weak and strong convergence theorems are established for this iterative scheme in a uniformly convex Banach space. The results presented extend and improve the corresponding results of Chidume et al. (2003), Wang (2006), Shahzad (2005), and Thianwan (2008).http://dx.doi.org/10.1155/2010/307245 |
| spellingShingle | Murat Ozdemir Sezgin Akbulut Hukmi Kiziltunc Convergence Theorems on a New Iteration Process for Two Asymptotically Nonexpansive Nonself-Mappings with Errors in Banach Spaces Discrete Dynamics in Nature and Society |
| title | Convergence Theorems on a New Iteration Process for Two Asymptotically Nonexpansive Nonself-Mappings with Errors in Banach Spaces |
| title_full | Convergence Theorems on a New Iteration Process for Two Asymptotically Nonexpansive Nonself-Mappings with Errors in Banach Spaces |
| title_fullStr | Convergence Theorems on a New Iteration Process for Two Asymptotically Nonexpansive Nonself-Mappings with Errors in Banach Spaces |
| title_full_unstemmed | Convergence Theorems on a New Iteration Process for Two Asymptotically Nonexpansive Nonself-Mappings with Errors in Banach Spaces |
| title_short | Convergence Theorems on a New Iteration Process for Two Asymptotically Nonexpansive Nonself-Mappings with Errors in Banach Spaces |
| title_sort | convergence theorems on a new iteration process for two asymptotically nonexpansive nonself mappings with errors in banach spaces |
| url | http://dx.doi.org/10.1155/2010/307245 |
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