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• W2103104879 abstract "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 S1 and S2 and using the equivalent alternative formulation, we suggest and analyze a new perturbed p-step projection iterative algorithm with mixed errors for finding an element of the set of the fixed points of the nearly uniformly Lipschitzian mapping which is the unique solution of the system of general nonlinear regularized nonconvex variational inequalities. We also discuss the convergence analysis of the proposed iterative algorithm under some suitable conditions. MSC : Primary 47H05; Secondary 47J20, 49J40, 90C33." @default.
• W2103104879 created "2016-06-24" @default.
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• W2103104879 date "2012-06-18" @default.
• W2103104879 modified "2023-09-26" @default.
• W2103104879 title "Perturbed projection and iterative algorithms for a system of general regularized nonconvex variational inequalities" @default.
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• W2103104879 doi "https://doi.org/10.1186/1029-242x-2012-141" @default.
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