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We introduce a general implicit algorithm for finding a common element of the set of solutions of systems of EQUILIBRIUM PROBLEM s and the set of common fixed points of a sequence of NONEXPANSIVE MAPPING s and a CONTINUOUS REPRESENTATION of NONEXPANSIVE MAPPING s. Then we prove the strong convergence of the proposed implicit scheme to the unique solution of the minimization problem on the solution of systems of EQUILIBRIUM PROBLEM s and the common fixed points of a sequence of NONEXPANSIVE MAPPING s and a CONTINUOUS REPRESENTATION of NONEXPANSIVE MAPPING s.