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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Main Authors: S. Dhompongsa, W. Takahashi, H. Yingtaweesittikul
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/50112
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Institution: Chiang Mai University
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spelling 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
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