Hybrid Projection Algorithm for Two Countable Families of Hemirelatively Nonexpansive Mappings and Applications
Two countable families of hemirelatively nonexpansive mappings are considered based on a hybrid projection algorithm. Strong convergence theorems of iterative sequences are obtained in an uniformly convex and uniformly smooth Banach space. As applications, convex feasibility problems, equilibrium pr...
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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/10.1155/2013/524795 |
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| _version_ | 1832550167262265344 |
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| author | Zi-Ming Wang Poom Kumam |
| author_facet | Zi-Ming Wang Poom Kumam |
| author_sort | Zi-Ming Wang |
| collection | DOAJ |
| description | Two countable families of hemirelatively nonexpansive mappings are considered based on a hybrid projection algorithm. Strong convergence theorems of iterative sequences are obtained in an uniformly convex and uniformly smooth Banach space. As applications, convex feasibility problems, equilibrium problems, variational inequality problems, and zeros of maximal monotone operators are studied. |
| format | Article |
| id | doaj-art-cdc1f8207aa54063a35982cece805778 |
| 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-cdc1f8207aa54063a35982cece8057782025-02-03T06:07:32ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/524795524795Hybrid Projection Algorithm for Two Countable Families of Hemirelatively Nonexpansive Mappings and ApplicationsZi-Ming Wang0Poom Kumam1Department of Foundation, Shandong Yingcai University, Jinan 250104, ChinaDepartment of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bang Mod, Thrung Khru, Bangkok 10140, ThailandTwo countable families of hemirelatively nonexpansive mappings are considered based on a hybrid projection algorithm. Strong convergence theorems of iterative sequences are obtained in an uniformly convex and uniformly smooth Banach space. As applications, convex feasibility problems, equilibrium problems, variational inequality problems, and zeros of maximal monotone operators are studied.http://dx.doi.org/10.1155/2013/524795 |
| spellingShingle | Zi-Ming Wang Poom Kumam Hybrid Projection Algorithm for Two Countable Families of Hemirelatively Nonexpansive Mappings and Applications Journal of Applied Mathematics |
| title | Hybrid Projection Algorithm for Two Countable Families of Hemirelatively Nonexpansive Mappings and Applications |
| title_full | Hybrid Projection Algorithm for Two Countable Families of Hemirelatively Nonexpansive Mappings and Applications |
| title_fullStr | Hybrid Projection Algorithm for Two Countable Families of Hemirelatively Nonexpansive Mappings and Applications |
| title_full_unstemmed | Hybrid Projection Algorithm for Two Countable Families of Hemirelatively Nonexpansive Mappings and Applications |
| title_short | Hybrid Projection Algorithm for Two Countable Families of Hemirelatively Nonexpansive Mappings and Applications |
| title_sort | hybrid projection algorithm for two countable families of hemirelatively nonexpansive mappings and applications |
| url | http://dx.doi.org/10.1155/2013/524795 |
| work_keys_str_mv | AT zimingwang hybridprojectionalgorithmfortwocountablefamiliesofhemirelativelynonexpansivemappingsandapplications AT poomkumam hybridprojectionalgorithmfortwocountablefamiliesofhemirelativelynonexpansivemappingsandapplications |