A Strong Convergence Theorem for Relatively Nonexpansive Mappings and Equilibrium Problems in Banach Spaces
Relatively nonexpansive mappings and equilibrium problems are considered based on a shrinking projection method. Using properties of the generalized f-projection operator, a strong convergence theorem for relatively nonexpansive mappings and equilibrium problems is proved in Banach spaces under some...
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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/10.1155/2012/498487 |
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| _version_ | 1849684098965045248 |
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| author | Mei Yuan Xi Li Xue-song Li John J. Liu |
| author_facet | Mei Yuan Xi Li Xue-song Li John J. Liu |
| author_sort | Mei Yuan |
| collection | DOAJ |
| description | Relatively nonexpansive mappings and equilibrium problems are
considered based on a shrinking projection method. Using properties of the generalized f-projection operator, a strong convergence theorem for relatively nonexpansive mappings and equilibrium problems is proved in Banach spaces under some suitable conditions. |
| format | Article |
| id | doaj-art-c6cf653207634d268e1c1a290b7255c6 |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c6cf653207634d268e1c1a290b7255c62025-08-20T03:23:34ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/498487498487A Strong Convergence Theorem for Relatively Nonexpansive Mappings and Equilibrium Problems in Banach SpacesMei Yuan0Xi Li1Xue-song Li2John J. Liu3Leshan College of Profession and Technology, Sichuan, Leshan 614000, ChinaDepartment of Mathematics, Sichuan University, Sichuan, Chengdu 610064, ChinaDepartment of Mathematics, Sichuan University, Sichuan, Chengdu 610064, ChinaCollege of Business, City University of Hong Kong, Hong KongRelatively nonexpansive mappings and equilibrium problems are considered based on a shrinking projection method. Using properties of the generalized f-projection operator, a strong convergence theorem for relatively nonexpansive mappings and equilibrium problems is proved in Banach spaces under some suitable conditions.http://dx.doi.org/10.1155/2012/498487 |
| spellingShingle | Mei Yuan Xi Li Xue-song Li John J. Liu A Strong Convergence Theorem for Relatively Nonexpansive Mappings and Equilibrium Problems in Banach Spaces Abstract and Applied Analysis |
| title | A Strong Convergence Theorem for Relatively
Nonexpansive Mappings and Equilibrium
Problems in Banach Spaces |
| title_full | A Strong Convergence Theorem for Relatively
Nonexpansive Mappings and Equilibrium
Problems in Banach Spaces |
| title_fullStr | A Strong Convergence Theorem for Relatively
Nonexpansive Mappings and Equilibrium
Problems in Banach Spaces |
| title_full_unstemmed | A Strong Convergence Theorem for Relatively
Nonexpansive Mappings and Equilibrium
Problems in Banach Spaces |
| title_short | A Strong Convergence Theorem for Relatively
Nonexpansive Mappings and Equilibrium
Problems in Banach Spaces |
| title_sort | strong convergence theorem for relatively nonexpansive mappings and equilibrium problems in banach spaces |
| url | http://dx.doi.org/10.1155/2012/498487 |
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