An investigation on the existence and approximate controllability of neutral stochastic hemivariational inequalities

The main study of this article is approximate controllability results for neutral stochastic hemivariational inequalities in Hilbert spaces. The mild solution is initially derived by using the theories on the semigroup, Clarke's subdifferential operators and fixed point theorem method. Initially we proved the existence of the mild solution for the neutral stochastic hemivariational inequalities and provided the approximate controllability of the considered system. Finally, a simple application also provided to illustrate the theory obtained.