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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Main Authors:	S. Dhompongsa, W. Takahashi, H. Yingtaweesittikul
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84874877015&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51814
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-51814
record_format	dspace
spelling	th-cmuir.6653943832-518142018-09-04T06:09:35Z Strong 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 in a Hilbert space. We show that the sequence converges strongly to a common element of the above three sets. © 2012 Yokohama Publishers. 2018-09-04T06:09:35Z 2018-09-04T06:09:35Z 2012-01-01 Journal 13498169 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/6653943832/51814
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 Strong 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 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	S. Dhompongsa W. Takahashi H. Yingtaweesittikul
author_facet	S. Dhompongsa W. Takahashi H. Yingtaweesittikul
author_sort	S. Dhompongsa
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	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84874877015&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51814
_version_	1681423837764255744

Strong convergence theorems for equilibrium problems with nonlinear operators in Hilbert spaces

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