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 |
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Mathematics S. Dhompongsa W. Takahashi H. Yingtaweesittikul Weak convergence theorems for equilibrium problems with nonlinear operators in hilbert spaces |
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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. We show that the sequence converges weakly to a common element of the above three sets. |
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Journal |
author |
S. Dhompongsa W. Takahashi H. Yingtaweesittikul |
author_facet |
S. Dhompongsa W. Takahashi H. Yingtaweesittikul |
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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 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=80055087458&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50112 |
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1681423531247665152 |