An iterative method for equilibrium problems of nonexpansive semigroups in hilbert spaces

In this paper, we introduce an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive semigroups in Hilbert Spaces. We prove that the approximate solution converges strongly to a solution of variational inequaliti...

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Main Author: Joomwong J.
Format: Journal
Published: 2017
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77957050085&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/43229
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-432292017-09-28T06:52:35Z An iterative method for equilibrium problems of nonexpansive semigroups in hilbert spaces Joomwong J. In this paper, we introduce an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive semigroups in Hilbert Spaces. We prove that the approximate solution converges strongly to a solution of variational inequalities under some appropriate conditions imposed on the parameter. The results of this paper extend and improve the results of Wang-keeree [12] and many others. 2017-09-28T06:52:35Z 2017-09-28T06:52:35Z 2010-09-30 Journal 13128876 2-s2.0-77957050085 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77957050085&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/43229
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
description In this paper, we introduce an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive semigroups in Hilbert Spaces. We prove that the approximate solution converges strongly to a solution of variational inequalities under some appropriate conditions imposed on the parameter. The results of this paper extend and improve the results of Wang-keeree [12] and many others.
format Journal
author Joomwong J.
spellingShingle Joomwong J.
An iterative method for equilibrium problems of nonexpansive semigroups in hilbert spaces
author_facet Joomwong J.
author_sort Joomwong J.
title An iterative method for equilibrium problems of nonexpansive semigroups in hilbert spaces
title_short An iterative method for equilibrium problems of nonexpansive semigroups in hilbert spaces
title_full An iterative method for equilibrium problems of nonexpansive semigroups in hilbert spaces
title_fullStr An iterative method for equilibrium problems of nonexpansive semigroups in hilbert spaces
title_full_unstemmed An iterative method for equilibrium problems of nonexpansive semigroups in hilbert spaces
title_sort iterative method for equilibrium problems of nonexpansive semigroups in hilbert spaces
publishDate 2017
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77957050085&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/43229
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