Strong convergence theorems for a general system of variational inequality problems, mixed equilibrium problems and fixed points problems with applications

Strong convergence theorems for a general system of variational inequality problems, mixed equilibrium problems and fixed points problems with applications

In this paper, we introduce a new iterative scheme for finding a common element of the set of solutions of a general system of variational inequalities, the set of solutions of a mixed equilibrium problem and the set of common fixed points of a finite family of nonexpansive mappings in a real Hilber...

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Main Authors: S. Imnang, S. Suantai
Format: Journal
Published: 2018
Subjects:
Computer Science
Mathematics
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77956012985&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/50708
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-507082018-09-04T04:49:15Z Strong convergence theorems for a general system of variational inequality problems, mixed equilibrium problems and fixed points problems with applications S. Imnang S. Suantai Computer Science Mathematics In this paper, we introduce a new iterative scheme for finding a common element of the set of solutions of a general system of variational inequalities, the set of solutions of a mixed equilibrium problem and the set of common fixed points of a finite family of nonexpansive mappings in a real Hilbert space. Using the demi-closedness principle for nonexpansive mapping, we prove that the iterative sequence converges strongly to a common element of the above three sets under some control conditions. Our main result extends a recent result of Ceng, Wang and Yao [L.C. Ceng, C.Y. Wang and J.C. Yao, Strong convergence theorems by a relaxed extragradient method for a general system of variational inequalities, Math. Meth. Oper. Res. 67 (2008) 375-390]. © 2010 Elsevier Ltd. 2018-09-04T04:44:35Z 2018-09-04T04:44:35Z 2010-11-01 Journal 08957177 2-s2.0-77956012985 10.1016/j.mcm.2010.06.037 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77956012985&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50708
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Computer Science
Mathematics
spellingShingle Computer Science
Mathematics
S. Imnang
S. Suantai
Strong convergence theorems for a general system of variational inequality problems, mixed equilibrium problems and fixed points problems with applications
description In this paper, we introduce a new iterative scheme for finding a common element of the set of solutions of a general system of variational inequalities, the set of solutions of a mixed equilibrium problem and the set of common fixed points of a finite family of nonexpansive mappings in a real Hilbert space. Using the demi-closedness principle for nonexpansive mapping, we prove that the iterative sequence converges strongly to a common element of the above three sets under some control conditions. Our main result extends a recent result of Ceng, Wang and Yao [L.C. Ceng, C.Y. Wang and J.C. Yao, Strong convergence theorems by a relaxed extragradient method for a general system of variational inequalities, Math. Meth. Oper. Res. 67 (2008) 375-390]. © 2010 Elsevier Ltd.
format Journal
author S. Imnang
S. Suantai
author_facet S. Imnang
S. Suantai
author_sort S. Imnang
title Strong convergence theorems for a general system of variational inequality problems, mixed equilibrium problems and fixed points problems with applications
title_short Strong convergence theorems for a general system of variational inequality problems, mixed equilibrium problems and fixed points problems with applications
title_full Strong convergence theorems for a general system of variational inequality problems, mixed equilibrium problems and fixed points problems with applications
title_fullStr Strong convergence theorems for a general system of variational inequality problems, mixed equilibrium problems and fixed points problems with applications
title_full_unstemmed Strong convergence theorems for a general system of variational inequality problems, mixed equilibrium problems and fixed points problems with applications
title_sort strong convergence theorems for a general system of variational inequality problems, mixed equilibrium problems and fixed points problems with applications
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77956012985&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/50708
_version_ 1681423638550544384

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