Weak convergence theorems for equilibrium problems with nonlinear operators in hilbert spaces
In this paper, we introduce an iterative sequence for finding a common element of the set of fixed points of a nonspreading mapping, the set of solutions of an equilibrium problem and the set of solutions of the variational inequality problem for a monotone and Lipschitz-continuous mapping. We show...
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th-cmuir.6653943832-64322014-08-30T03:24:12Z Weak convergence theorems for equilibrium problems with nonlinear operators in hilbert spaces Dhompongsa S. Takahashi W. Yingtaweesittikul H. In this paper, we introduce an iterative sequence for finding a common element of the set of fixed points of a nonspreading mapping, the set of solutions of an equilibrium problem and the set of solutions of the variational inequality problem for a monotone and Lipschitz-continuous mapping. We show that the sequence converges weakly to a common element of the above three sets. 2014-08-30T03:24:12Z 2014-08-30T03:24:12Z 2011 Article 15835022 http://www.scopus.com/inward/record.url?eid=2-s2.0-80055087458&partnerID=40&md5=c232b8d75772798959f26e4d71311969 http://cmuir.cmu.ac.th/handle/6653943832/6432 English |
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English |
| description |
In this paper, we introduce an iterative sequence for finding a common element of the set of fixed points of a nonspreading mapping, the set of solutions of an equilibrium problem and the set of solutions of the variational inequality problem for a monotone and Lipschitz-continuous mapping. We show that the sequence converges weakly to a common element of the above three sets. |
| format |
Article |
| author |
Dhompongsa S. Takahashi W. Yingtaweesittikul H. |
| spellingShingle |
Dhompongsa S. Takahashi W. Yingtaweesittikul H. Weak convergence theorems for equilibrium problems with nonlinear operators in hilbert spaces |
| author_facet |
Dhompongsa S. Takahashi W. Yingtaweesittikul H. |
| author_sort |
Dhompongsa S. |
| title |
Weak convergence theorems for equilibrium problems with nonlinear operators in hilbert spaces |
| title_short |
Weak convergence theorems for equilibrium problems with nonlinear operators in hilbert spaces |
| title_full |
Weak convergence theorems for equilibrium problems with nonlinear operators in hilbert spaces |
| title_fullStr |
Weak convergence theorems for equilibrium problems with nonlinear operators in hilbert spaces |
| title_full_unstemmed |
Weak convergence theorems for equilibrium problems with nonlinear operators in hilbert spaces |
| title_sort |
weak convergence theorems for equilibrium problems with nonlinear operators in hilbert spaces |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-80055087458&partnerID=40&md5=c232b8d75772798959f26e4d71311969 http://cmuir.cmu.ac.th/handle/6653943832/6432 |
| _version_ |
1681420612620255232 |