Iterative algorithm for solving the new system of generalized variational inequalities in Hilbert spaces

© 2016 Academic Publications, Ltd. In this paper, we introduce an iterative method to approximate a common solution of a new general system of variational inequalities, a mixed equilibrium problem and a fixed point problem for a nonexpansive mapping in real Hilbert spaces. We prove that the iterativ...

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Main Authors:	Suwicha Imnang, Theeradet Kaewong, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84994714136&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55985
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-55985
record_format	dspace
spelling	th-cmuir.6653943832-559852018-09-05T03:07:04Z Iterative algorithm for solving the new system of generalized variational inequalities in Hilbert spaces Suwicha Imnang Theeradet Kaewong Suthep Suantai Mathematics © 2016 Academic Publications, Ltd. In this paper, we introduce an iterative method to approximate a common solution of a new general system of variational inequalities, a mixed equilibrium problem and a fixed point problem for a nonexpansive mapping in real Hilbert spaces. We prove that the iterative sequence converges strongly to a common solution of the three problems in the framework of Hilbert spaces. Our main results extend and improve some results in the literature. 2018-09-05T03:07:04Z 2018-09-05T03:07:04Z 2016-01-01 Journal 13143395 13118080 2-s2.0-84994714136 10.12732/ijpam.v110i1.18 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84994714136&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55985
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Suwicha Imnang Theeradet Kaewong Suthep Suantai Iterative algorithm for solving the new system of generalized variational inequalities in Hilbert spaces
description	© 2016 Academic Publications, Ltd. In this paper, we introduce an iterative method to approximate a common solution of a new general system of variational inequalities, a mixed equilibrium problem and a fixed point problem for a nonexpansive mapping in real Hilbert spaces. We prove that the iterative sequence converges strongly to a common solution of the three problems in the framework of Hilbert spaces. Our main results extend and improve some results in the literature.
format	Journal
author	Suwicha Imnang Theeradet Kaewong Suthep Suantai
author_facet	Suwicha Imnang Theeradet Kaewong Suthep Suantai
author_sort	Suwicha Imnang
title	Iterative algorithm for solving the new system of generalized variational inequalities in Hilbert spaces
title_short	Iterative algorithm for solving the new system of generalized variational inequalities in Hilbert spaces
title_full	Iterative algorithm for solving the new system of generalized variational inequalities in Hilbert spaces
title_fullStr	Iterative algorithm for solving the new system of generalized variational inequalities in Hilbert spaces
title_full_unstemmed	Iterative algorithm for solving the new system of generalized variational inequalities in Hilbert spaces
title_sort	iterative algorithm for solving the new system of generalized variational inequalities in hilbert spaces
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84994714136&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55985
_version_	1681424607432671232

Iterative algorithm for solving the new system of generalized variational inequalities in Hilbert spaces

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