Convergence analysis for a system of generalized equilibrium problems and a countable family of strict pseudocontractions

We introduce a new iterative algorithm for a system of generalized equilibrium problems and a countable family of strict pseudocontractions in Hilbert spaces. We then prove that the sequence generated by the proposed algorithm converges strongly to a common element in the solutions set of a system o...

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Bibliographic Details
Main Authors: Suthep Suantai, Prasit Cholamjiak
Format: Journal
Published: 2018
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Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79952178450&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/50128
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Institution: Chiang Mai University
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Summary:We introduce a new iterative algorithm for a system of generalized equilibrium problems and a countable family of strict pseudocontractions in Hilbert spaces. We then prove that the sequence generated by the proposed algorithm converges strongly to a common element in the solutions set of a system of generalized equilibrium problems and the common fixed points set of an infinitely countable family of strict pseudocontractions. Copyright © 2011 Prasit Cholamjiak and Suthep Suantai.