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In this paper, we introduce some iterative algorithms to find common elements in the solution set of a family of pseudomonotone equilibrium problems and the fixed point set of a family of nonselfnonexpansive mappings on the different subsets of a Hilbert space. The strong convergence of these algorithms are obtained. Finally, a numerical example is given to illustrate the main results of this paper.

journal of nonlinear functional analysis

Parallel extragradient algorithms for a family of pseudomonotone equilibrium problems and fixed point problems of nonself-nonexpansive mappings in Hilbert space