Strong convergence theorem for a new general system of variational inequalities in Banach spaces

We introduce a new system of general variational inequalities in Banach spaces. The equivalence between this system of variational inequalities and fixed point problems concerning the nonexpansive mapping is established. By using this equivalent formulation, we introduce an iterative scheme for find...

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Main Authors:	S. Suantai, S. Imnang
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79952124293&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50978
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-50978
record_format	dspace
spelling	th-cmuir.6653943832-509782018-09-04T04:49:11Z Strong convergence theorem for a new general system of variational inequalities in Banach spaces S. Suantai S. Imnang Mathematics We introduce a new system of general variational inequalities in Banach spaces. The equivalence between this system of variational inequalities and fixed point problems concerning the nonexpansive mapping is established. By using this equivalent formulation, we introduce an iterative scheme for finding a solution of the system of variational inequalities in Banach spaces. Our main result extends a recent result acheived by Yao, Noor, Noor, Liou, and Yaqoob. Copyright © 2010 S. Imnang and S. Suantai. 2018-09-04T04:49:11Z 2018-09-04T04:49:11Z 2010-12-01 Journal 16871812 16871820 2-s2.0-79952124293 10.1155/2010/246808 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79952124293&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50978
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics S. Suantai S. Imnang Strong convergence theorem for a new general system of variational inequalities in Banach spaces
description	We introduce a new system of general variational inequalities in Banach spaces. The equivalence between this system of variational inequalities and fixed point problems concerning the nonexpansive mapping is established. By using this equivalent formulation, we introduce an iterative scheme for finding a solution of the system of variational inequalities in Banach spaces. Our main result extends a recent result acheived by Yao, Noor, Noor, Liou, and Yaqoob. Copyright © 2010 S. Imnang and S. Suantai.
format	Journal
author	S. Suantai S. Imnang
author_facet	S. Suantai S. Imnang
author_sort	S. Suantai
title	Strong convergence theorem for a new general system of variational inequalities in Banach spaces
title_short	Strong convergence theorem for a new general system of variational inequalities in Banach spaces
title_full	Strong convergence theorem for a new general system of variational inequalities in Banach spaces
title_fullStr	Strong convergence theorem for a new general system of variational inequalities in Banach spaces
title_full_unstemmed	Strong convergence theorem for a new general system of variational inequalities in Banach spaces
title_sort	strong convergence theorem for a new general system of variational inequalities in banach spaces
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79952124293&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50978
_version_	1681423686865780736

Strong convergence theorem for a new general system of variational inequalities in Banach spaces

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