On inverse variational–hemivariational inequalities and its regularization

Abstract

In this article, we propose the inverse variational-hemivariational inequalities problems (IVHIP) and its Tikhonov regularization theory. We establish the existence results for IVHIP and its regularized problems. Moreover, we also discuss the nonemptiness, boundedness and the asymptotic analysis of regularized solutions. Furthermore, we also investigate the existence results of the regularized solutions on the unbounded constrained through the coercive conditions. Several examples are given to support the new findings.