Strong 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 in a Hilb...
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th-cmuir.6653943832-429212017-09-28T06:42:38Z Strong 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 in a Hilbert space. We show that the sequence converges strongly to a common element of the above three sets. © 2012 Yokohama Publishers. 2017-09-28T06:42:38Z 2017-09-28T06:42:38Z 2012-01-01 Journal 13489151 2-s2.0-84874877015 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84874877015&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/42921 |
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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 in a Hilbert space. We show that the sequence converges strongly to a common element of the above three sets. © 2012 Yokohama Publishers. |
| format |
Journal |
| author |
Dhompongsa S. Takahashi W. Yingtaweesittikul H. |
| spellingShingle |
Dhompongsa S. Takahashi W. Yingtaweesittikul H. Strong convergence theorems for equilibrium problems with nonlinear operators in Hilbert spaces |
| author_facet |
Dhompongsa S. Takahashi W. Yingtaweesittikul H. |
| author_sort |
Dhompongsa S. |
| title |
Strong convergence theorems for equilibrium problems with nonlinear operators in Hilbert spaces |
| title_short |
Strong convergence theorems for equilibrium problems with nonlinear operators in Hilbert spaces |
| title_full |
Strong convergence theorems for equilibrium problems with nonlinear operators in Hilbert spaces |
| title_fullStr |
Strong convergence theorems for equilibrium problems with nonlinear operators in Hilbert spaces |
| title_full_unstemmed |
Strong convergence theorems for equilibrium problems with nonlinear operators in Hilbert spaces |
| title_sort |
strong convergence theorems for equilibrium problems with nonlinear operators in hilbert spaces |
| publishDate |
2017 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84874877015&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/42921 |
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1681422281083977728 |