  In this paper an inexact proximal point method for variational inequalities
in Hadamard manifolds is introduced and studied its convergence properties. The
main tool used for presenting the method is the concept of enlargement of
monotone vector fields, which generalizes the concept of enlargement of
monotone operators from the linear setting to the Riemannian context. As an
application, an inexact proximal point method for constrained optimization
problems is obtained.
