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Projection methods and a new system of extended general regularized nonconvex set-valued variational inequalities - MaRDI portal

Projection methods and a new system of extended general regularized nonconvex set-valued variational inequalities (Q411071)

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scientific article; zbMATH DE number 6021740
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Projection methods and a new system of extended general regularized nonconvex set-valued variational inequalities
scientific article; zbMATH DE number 6021740

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    Projection methods and a new system of extended general regularized nonconvex set-valued variational inequalities (English)
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    4 April 2012
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    Summary: 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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