ON A NEW SYSTEM OF NONLINEAR REGULARIZED NONCONVEX VARIATIONAL INEQUALITIES IN HILBERTSPACES
Keywords:
System of nonlinear regularized nonconvex variational inequalities, uniformly r-prox regular sets, iterative sequences, convergence analysis, mixed errorsAbstract
The aim of this work is to suggest a new system of nonlinear regularized nonconvex variational inequalities in a real Hilbert space and established an equivalence relation between this system and fixed point problems. By using the equivalence relation we construct a new perturbed projection iterative algorithms with mixed errors for finding a solution set of system of nonlinear regularized nonconvex variational inequalities and discussed the
convergence of the sequences generated by an iterative algorithm.
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