The Maximality of the Sum of Monotone Operators in Banach Space and an Application to Hemivariational Inequalities

In this paper we give some conditions under which Tq­ f is maximal monotone in the Banach space X not necessarily reflexive., where T is a monotone operator from X into X* and ­ f is the subdifferential of a proper lower semicontinuous convex function f, from X into Rj q`4. We also give an application to hemivariational inequalities