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In this paper, a new system of generalized nonlinear variational inequalities involving three operators is introduced. A three-step iterative algorithm is considered for the system of generalized nonlinear variational inequalities. Strong convergence theorems of the three-step iterative algorithm are established. MSC: 47H05, 47H09, 47J25.

Iterative algorithms for a system of generalized variational inequalities in Hilbert spaces