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A new system of generalized nonlinear mixed variational inequalities in Hilbert spaces. (English) Zbl 1061.49010

Summary: In this paper, we introduce and study a new system of generalized nonlinear mixed variational inequalities in Hilbert spaces. We prove the existence and uniqueness of the solution for this system. We also give the convergence of the Mann iterative sequences with errors for this system.

MSC:

49J40 Variational inequalities
47J20 Variational and other types of inequalities involving nonlinear operators (general)