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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Bibliographic Details
Main Authors: Imnang S., Kaewong T., Suantai S.
Format: Journal
Published: 2017
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84994714136&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/42519
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Institution: Chiang Mai University
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Summary:© 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.