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Stability Analysis for Evolutionary Variational-Hemivariational lnequalities with Constraint Sets

Abstract

In this talk, we provide the stability analysis for an evolutionary variational-hemivariational inequality in reflexive Banach space, whose data, including the constraint set, are perturbed. First, 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 solution to the evolutionary variational-hemivariational inequality, and prove their strong convergence to the unique solution of the evolutionary variational-hemivariational inequality under different mild conditions.