Fixed Point and Weak Convergence Theorems for (α,β)-Hybrid Mappings in Banach Spaces
We introduce the class of (α,β)-hybrid mappings relative to a Bregman distance Df in a Banach space, and then we study the fixed point and weak convergence problem for such mappings.
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| Main Authors: | , , , |
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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/10.1155/2012/789043 |
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| _version_ | 1832561728738557952 |
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| author | Tian-Yuan Kuo Jyh-Chung Jeng Young-Ye Huang Chung-Chien Hong |
| author_facet | Tian-Yuan Kuo Jyh-Chung Jeng Young-Ye Huang Chung-Chien Hong |
| author_sort | Tian-Yuan Kuo |
| collection | DOAJ |
| description | We introduce the class of (α,β)-hybrid mappings relative
to a Bregman distance Df in a Banach space, and then we study the fixed
point and weak convergence problem for such mappings. |
| format | Article |
| id | doaj-art-b34b88878b3d4c73b48a1b3efdc5b9fa |
| 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-b34b88878b3d4c73b48a1b3efdc5b9fa2025-02-03T01:24:23ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/789043789043Fixed Point and Weak Convergence Theorems for (α,β)-Hybrid Mappings in Banach SpacesTian-Yuan Kuo0Jyh-Chung Jeng1Young-Ye Huang2Chung-Chien Hong3Center for General Education, Fooyin University, 151 Jinxue Road, Daliao District, Kaohsiung 83102, TaiwanDepartment of Finance, Nan Jeon Institute of Technology, 178 Chaoqin Road, Yenshui District, Tainan 73746, TaiwanCenter for General Education, Southern Taiwan University, 1 Nantai Street, Yongkang District, Tainan 71005, TaiwanDepartment of Industrial Management, National Pingtung University of Science and Technology, 1 Shuefu Road, Neopu, Pingtung 91201, TaiwanWe introduce the class of (α,β)-hybrid mappings relative to a Bregman distance Df in a Banach space, and then we study the fixed point and weak convergence problem for such mappings.http://dx.doi.org/10.1155/2012/789043 |
| spellingShingle | Tian-Yuan Kuo Jyh-Chung Jeng Young-Ye Huang Chung-Chien Hong Fixed Point and Weak Convergence Theorems for (α,β)-Hybrid Mappings in Banach Spaces Abstract and Applied Analysis |
| title | Fixed Point and Weak Convergence Theorems for (α,β)-Hybrid Mappings in Banach Spaces |
| title_full | Fixed Point and Weak Convergence Theorems for (α,β)-Hybrid Mappings in Banach Spaces |
| title_fullStr | Fixed Point and Weak Convergence Theorems for (α,β)-Hybrid Mappings in Banach Spaces |
| title_full_unstemmed | Fixed Point and Weak Convergence Theorems for (α,β)-Hybrid Mappings in Banach Spaces |
| title_short | Fixed Point and Weak Convergence Theorems for (α,β)-Hybrid Mappings in Banach Spaces |
| title_sort | fixed point and weak convergence theorems for α β hybrid mappings in banach spaces |
| url | http://dx.doi.org/10.1155/2012/789043 |
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