Stability analysis for evolutionary variational-hemivariational inequalities with constraint sets

摘要

In this paper,we provide the stability analysis for an evolutionary variational-hemivariational inequality in the reflexive Banach space,whose data including the constraint set are perturbed.First,by using its perturbed data and the duality mapping,the perturbed and regularized problems for the evolutionary variational-hemivariational inequality are constructed,respectively.Then,by proving the unique solvability for the evolutionary variational-hemivariational inequality and its perturbed and regularized problems,we obtain two sequences called approximating sequences of the solution to the evolutionary variational-hemivariational inequality,and prove their strong convergence to the unique solution to the evolutionary variationalhemivariational inequality under different mild conditions.