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

Abstract

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.