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) |
Keywords:
quasi-variational inequalities; resolvent equations; fixed-point problems; existence results; implicit resolvent dynamical systems; quasi-variational inclusions; resolvent operatorsReferences:
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