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Perturbed projection and iterative algorithms for a system of general regularized nonconvex variational inequalities
Journal of Inequalities and Applications
The purpose of this paper is to introduce a new system of general nonlinear regularized nonconvex variational inequalities and verify the equivalence between the proposed system and fixed point problems. By using the equivalent formulation, the existence and uniqueness theorems for solutions of the system are established. Applying two nearly uniformly Lipschitzian mappings S 1 and S 2 and using the equivalent alternative formulation, we suggest and analyze a new perturbed p-step projectiondoi:10.1186/1029-242x-2012-141 fatcat:reqdry5j7vgthfrxrbj45v6r2q