Convergence analysis on Browder-Tikhonov regularization for second-order evolution hemivariational inequality

摘要

This paper studies the Browder-Tikhonov regularization of a second-order evolution hemivariational inequality(SOEHVI) with non-coercive operators. With duality mapping, the regularized formulations and a derived first-order evolution hemivariational inequality(FOEHVI) for the problem considered are presented. By applying the Browder-Tikhonov regularization method to the derived FOEHVI, a sequence of regularized solutions to the regularized SOEHVI is constructed, and the strong convergence of the whole sequence of regularized solutions to a solution to the problem is proved.