A Nash type solution for hemivariational inequality systems

Abstract: In this paper we prove an existence result for a general class of hemivariational inequalities systems using the Ky Fan version of KKM theorem (1984) or the Tarafdar fixed point theorem (1987). As application we give an infinite dimensional version for existence result of Nash generalized derivative points introduced recently by Krist\'{a}ly (2010) and also we give an application to a general hemivariational inequalities system.