<i>A</i>‐monotonicity and applications to nonlinear variational inclusion problems

A new notion of the A ‐monotonicity is introduced, which generalizes the H ‐monotonicity. Since the A ‐monotonicity originates from hemivariational inequalities, and hemivariational inequalities are connected with nonconvex energy functions, it turns out to be a useful tool proving the existence of solutions of nonconvex constrained problems as well.