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In the paper a new sufficient condition for the Aubin property to a class ofparameterized variational systems is derived. In these systems the constraintsdepend both on the parameter as well as on the decision variable itself andthey include, e.g., parameter-dependent quasi-variational inequalities andimplicit complementarity problems. The result is based on a general conditionensuring the Aubin property of implicitly defined multifunctions which employsthe recently introduced notion of the directional limiting coderivative. Ourfinal condition can be verified, however, without an explicit computation ofthese coderivatives. The procedure is illustrated by an example.

On the Aubin property of solution maps to parameterized variational systems with implicit constraints