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Implicit resolvent dynamical systems for quasi variational inclusions. (English) Zbl 1002.49010

Summary: We suggest and analyze a class of implicit resolvent dynamical systems for quasi-variational inclusions by using the resolvent operator technique. We show that the trajectory of the solution of the implicit dynamical system converges globally exponentially to the unique solution of the quasi-variational inclusions. Our results can be considered as a significant extension of the previously known results.

MSC:

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