An iterative method for equilibrium problems and a finite family of relatively nonexpansive mappings in a Banach space
In this paper, we introduce a new iterative method for finding a common element of the set of fixed points of a finite family of relatively nonexpansive mappings and the set of solutions of an equilibrium problem in uniformly convex and uniformly smooth Banach spaces. Then we prove a strong converge...
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th-cmuir.6653943832-61322014-08-30T03:23:52Z An iterative method for equilibrium problems and a finite family of relatively nonexpansive mappings in a Banach space Cholamjiak P. Suantai S. In this paper, we introduce a new iterative method for finding a common element of the set of fixed points of a finite family of relatively nonexpansive mappings and the set of solutions of an equilibrium problem in uniformly convex and uniformly smooth Banach spaces. Then we prove a strong convergence theorem by using the generalized projection. © 2010 Elsevier Inc. All rights reserved. 2014-08-30T03:23:52Z 2014-08-30T03:23:52Z 2010 Article 963003 10.1016/j.amc.2010.09.041 AMHCB http://www.scopus.com/inward/record.url?eid=2-s2.0-78650005071&partnerID=40&md5=2a037ea14545d82a00cac187ddd674aa http://cmuir.cmu.ac.th/handle/6653943832/6132 English |
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Chiang Mai University Library |
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Thailand |
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English |
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In this paper, we introduce a new iterative method for finding a common element of the set of fixed points of a finite family of relatively nonexpansive mappings and the set of solutions of an equilibrium problem in uniformly convex and uniformly smooth Banach spaces. Then we prove a strong convergence theorem by using the generalized projection. © 2010 Elsevier Inc. All rights reserved. |
| format |
Article |
| author |
Cholamjiak P. Suantai S. |
| spellingShingle |
Cholamjiak P. Suantai S. An iterative method for equilibrium problems and a finite family of relatively nonexpansive mappings in a Banach space |
| author_facet |
Cholamjiak P. Suantai S. |
| author_sort |
Cholamjiak P. |
| title |
An iterative method for equilibrium problems and a finite family of relatively nonexpansive mappings in a Banach space |
| title_short |
An iterative method for equilibrium problems and a finite family of relatively nonexpansive mappings in a Banach space |
| title_full |
An iterative method for equilibrium problems and a finite family of relatively nonexpansive mappings in a Banach space |
| title_fullStr |
An iterative method for equilibrium problems and a finite family of relatively nonexpansive mappings in a Banach space |
| title_full_unstemmed |
An iterative method for equilibrium problems and a finite family of relatively nonexpansive mappings in a Banach space |
| title_sort |
iterative method for equilibrium problems and a finite family of relatively nonexpansive mappings in a banach space |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-78650005071&partnerID=40&md5=2a037ea14545d82a00cac187ddd674aa http://cmuir.cmu.ac.th/handle/6653943832/6132 |
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1681420556375687168 |