Weak convergence theorems for equilibrium problems with nonlinear operators in hilbert spaces

In this paper, we introduce an iterative sequence for finding a common element of the set of fixed points of a nonspreading mapping, the set of solutions of an equilibrium problem and the set of solutions of the variational inequality problem for a monotone and Lipschitz-continuous mapping. We show...

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Bibliographic Details
Main Authors: Dhompongsa S., Takahashi W., Yingtaweesittikul H.
Format: Article
Language:English
Published: 2014
Online Access:http://www.scopus.com/inward/record.url?eid=2-s2.0-80055087458&partnerID=40&md5=c232b8d75772798959f26e4d71311969
http://cmuir.cmu.ac.th/handle/6653943832/6432
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Institution: Chiang Mai University
Language: English
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Summary:In this paper, we introduce an iterative sequence for finding a common element of the set of fixed points of a nonspreading mapping, the set of solutions of an equilibrium problem and the set of solutions of the variational inequality problem for a monotone and Lipschitz-continuous mapping. We show that the sequence converges weakly to a common element of the above three sets.