Abstract
In this work we study various gap functions for the generalized multivalued mixed variational-hemivariational inequality problems by using the
(
τ
M
,
σ
M
)
-relaxed cocoercive mapping and Hausdorff Lipschitz continuity. Moreover, we establish global error bounds for such inequalities using the characteristic of the Clarke generalized gradient method. As application, we present a stationary nonsmooth semipermeability problem.