Hybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings
In this paper, we introduce a new mapping and a Hybrid iterative scheme for finding a common element of the set of solutions of a generalized equilibrium problem and the set of common fixed points of a finite family of nonexpansive mappings in a Hilbert space. Then, we prove the strong convergence o...
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th-cmuir.6653943832-58382014-08-30T03:23:32Z Hybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings Kangtunyakarn A. Suantai S. In this paper, we introduce a new mapping and a Hybrid iterative scheme for finding a common element of the set of solutions of a generalized equilibrium problem and the set of common fixed points of a finite family of nonexpansive mappings in a Hilbert space. Then, we prove the strong convergence of the proposed iterative algorithm to a common fixed point of a finite family of nonexpansive mappings which is a solution of the generalized equilibrium problem. The results obtained in this paper extend the recent ones of Takahashi and Takahashi [S. Takahashi, W. Takahashi, Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space, Nonlinear Anal. 69 (2008) 1025-1033]. © 2009 Elsevier Ltd. All rights reserved. 2014-08-30T03:23:32Z 2014-08-30T03:23:32Z 2009 Article 1751570X 10.1016/j.nahs.2009.01.012 http://www.scopus.com/inward/record.url?eid=2-s2.0-67549121155&partnerID=40&md5=b2594754db7356ffdfdf85f02ff39bad http://cmuir.cmu.ac.th/handle/6653943832/5838 English |
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In this paper, we introduce a new mapping and a Hybrid iterative scheme for finding a common element of the set of solutions of a generalized equilibrium problem and the set of common fixed points of a finite family of nonexpansive mappings in a Hilbert space. Then, we prove the strong convergence of the proposed iterative algorithm to a common fixed point of a finite family of nonexpansive mappings which is a solution of the generalized equilibrium problem. The results obtained in this paper extend the recent ones of Takahashi and Takahashi [S. Takahashi, W. Takahashi, Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space, Nonlinear Anal. 69 (2008) 1025-1033]. © 2009 Elsevier Ltd. All rights reserved. |
| format |
Article |
| author |
Kangtunyakarn A. Suantai S. |
| spellingShingle |
Kangtunyakarn A. Suantai S. Hybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings |
| author_facet |
Kangtunyakarn A. Suantai S. |
| author_sort |
Kangtunyakarn A. |
| title |
Hybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings |
| title_short |
Hybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings |
| title_full |
Hybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings |
| title_fullStr |
Hybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings |
| title_full_unstemmed |
Hybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings |
| title_sort |
hybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-67549121155&partnerID=40&md5=b2594754db7356ffdfdf85f02ff39bad http://cmuir.cmu.ac.th/handle/6653943832/5838 |
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1681420501168160768 |