Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in banach spaces
We introduce a new hybrid iterative scheme for finding a common element in the solutions set of a system of equilibrium problems and the common fixed points set of an infinitely countable family of relatively quasi-nonexpansive mappings in the framework of Banach spaces. We prove the strong converge...
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th-cmuir.6653943832-61932014-08-30T03:23:56Z Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in banach spaces Suantai S. Cholamjiak P. We introduce a new hybrid iterative scheme for finding a common element in the solutions set of a system of equilibrium problems and the common fixed points set of an infinitely countable family of relatively quasi-nonexpansive mappings in the framework of Banach spaces. We prove the strong convergence theorem by the shrinking projection method. In addition, the results obtained in this paper can be applied to a system of variational inequality problems and to a system of convex minimization problems in a Banach space. © 2010 Prasit Cholamjiak and Suthep Suantai. 2014-08-30T03:23:56Z 2014-08-30T03:23:56Z 2010 Article 10853375 10.1155/2010/141376 http://www.scopus.com/inward/record.url?eid=2-s2.0-77957839333&partnerID=40&md5=994a7e0f5234d7dcd6ab3975ae236db1 http://cmuir.cmu.ac.th/handle/6653943832/6193 English |
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We introduce a new hybrid iterative scheme for finding a common element in the solutions set of a system of equilibrium problems and the common fixed points set of an infinitely countable family of relatively quasi-nonexpansive mappings in the framework of Banach spaces. We prove the strong convergence theorem by the shrinking projection method. In addition, the results obtained in this paper can be applied to a system of variational inequality problems and to a system of convex minimization problems in a Banach space. © 2010 Prasit Cholamjiak and Suthep Suantai. |
| format |
Article |
| author |
Suantai S. Cholamjiak P. |
| spellingShingle |
Suantai S. Cholamjiak P. Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in banach spaces |
| author_facet |
Suantai S. Cholamjiak P. |
| author_sort |
Suantai S. |
| title |
Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in banach spaces |
| title_short |
Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in banach spaces |
| title_full |
Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in banach spaces |
| title_fullStr |
Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in banach spaces |
| title_full_unstemmed |
Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in banach spaces |
| title_sort |
convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in banach spaces |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-77957839333&partnerID=40&md5=994a7e0f5234d7dcd6ab3975ae236db1 http://cmuir.cmu.ac.th/handle/6653943832/6193 |
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1681420567874371584 |