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In this paper, we introduce a multi-step iterative algorithm for finding a common element of the set of solutions of a finite family of generalized mixed equilibrium problems, the set of solutions of a finite family of variational inclusions for maximal monotone and inverse strong monotone mappings, the set of solutions of general system of variational inequalities and the set of fixed points of a countable family of nonexpansive mappings in a real Hilbert space. This multi-step iterativedoi:10.22436/jnsa.009.05.125 fatcat:b655cnc6rvgcfefnhqhnq7ojli