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.6653943832-501122018-09-04T04:24:30Z Weak convergence theorems for equilibrium problems with nonlinear operators in hilbert spaces S. Dhompongsa W. Takahashi H. Yingtaweesittikul Mathematics 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. 2018-09-04T04:24:30Z 2018-09-04T04:24:30Z 2011-11-03 Journal 15835022 2-s2.0-80055087458 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=80055087458&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50112 |
| institution |
Chiang Mai University |
| building |
Chiang Mai University Library |
| country |
Thailand |
| collection |
CMU Intellectual Repository |
| topic |
Mathematics |
| spellingShingle |
Mathematics S. Dhompongsa W. Takahashi H. Yingtaweesittikul Weak convergence theorems for equilibrium problems with nonlinear operators in hilbert spaces |
| 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 |
Journal |
| author |
S. Dhompongsa W. Takahashi H. Yingtaweesittikul |
| author_facet |
S. Dhompongsa W. Takahashi H. Yingtaweesittikul |
| author_sort |
S. Dhompongsa |
| 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 |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=80055087458&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50112 |
| _version_ |
1681423531247665152 |