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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Bibliographic Details
Main Authors: Suantai S., Imnang S.
Format: Article
Language:English
Published: 2014
Online Access:http://www.scopus.com/inward/record.url?eid=2-s2.0-79952124293&partnerID=40&md5=14f45173d577ab33b5a5b94e20a16bb5
http://cmuir.cmu.ac.th/handle/6653943832/6162
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Institution: Chiang Mai University
Language: English
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Summary: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.