An iterative Algorithm for Hemicontractive Mappings in Banach Spaces
We First introduce a three-step iterative algorithm for approximating the fixed points of the hemicontractive mappings in Banach spaces. Consequently, we prove the strong convergence of the proposed algorithm under some assumptions. Since three-step iterations include Ishikawa iterations as special...
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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/10.1155/2012/264103 |
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| _version_ | 1832557016364613632 |
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| author | Youli Yu Zhitao Wu Pei-Xia Yang |
| author_facet | Youli Yu Zhitao Wu Pei-Xia Yang |
| author_sort | Youli Yu |
| collection | DOAJ |
| description | We First introduce a three-step iterative algorithm for approximating the fixed points of the hemicontractive mappings in Banach spaces. Consequently, we prove the strong convergence of the proposed algorithm under some assumptions. Since three-step iterations include Ishikawa iterations as special cases, our result continue to hold for these problems. Our main results can be viewed as an important refinement of the previously known results. |
| format | Article |
| id | doaj-art-4fac1014d1a74e25a232be1a64497a96 |
| 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-4fac1014d1a74e25a232be1a64497a962025-02-03T05:43:43ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/264103264103An iterative Algorithm for Hemicontractive Mappings in Banach SpacesYouli Yu0Zhitao Wu1Pei-Xia Yang2School of Mathematics and Information Engineering, Taizhou University, Linhai 317000, ChinaDepartment of Mathematics, Tianjin Polytechnic University, Tianjin 300387, ChinaDepartment of Mathematics, Tianjin Polytechnic University, Tianjin 300387, ChinaWe First introduce a three-step iterative algorithm for approximating the fixed points of the hemicontractive mappings in Banach spaces. Consequently, we prove the strong convergence of the proposed algorithm under some assumptions. Since three-step iterations include Ishikawa iterations as special cases, our result continue to hold for these problems. Our main results can be viewed as an important refinement of the previously known results.http://dx.doi.org/10.1155/2012/264103 |
| spellingShingle | Youli Yu Zhitao Wu Pei-Xia Yang An iterative Algorithm for Hemicontractive Mappings in Banach Spaces Abstract and Applied Analysis |
| title | An iterative Algorithm for Hemicontractive Mappings in Banach Spaces |
| title_full | An iterative Algorithm for Hemicontractive Mappings in Banach Spaces |
| title_fullStr | An iterative Algorithm for Hemicontractive Mappings in Banach Spaces |
| title_full_unstemmed | An iterative Algorithm for Hemicontractive Mappings in Banach Spaces |
| title_short | An iterative Algorithm for Hemicontractive Mappings in Banach Spaces |
| title_sort | iterative algorithm for hemicontractive mappings in banach spaces |
| url | http://dx.doi.org/10.1155/2012/264103 |
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