Abstract
A new system of extended general nonlinear regularized nonconvex set‐valued variational inequalities is introduced, and the equivalence between the extended general nonlinear regularized nonconvex set‐valued variational inequalities and the fixed point problems is verified. Then, by this equivalent formulation, a new perturbed projection iterative algorithm with mixed errors for finding a solution of the aforementioned system is suggested and analyzed. Also the convergence of the suggested iterative algorithm under some suitable conditions is proved.
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