  Let f be a volume-preserving diffeomorphism of a closed C1 n-dimensional
Riemannian manifold M: In this paper, we prove the equivalence between the
following conditions: (a) f belongs to the C1-interior of the set of
volume-preserving diffeomorphisms which satisfy the weak shadowing property,
(b) f belongs to the C1-interior of the set of volume-preserving
diffeomorphisms which satisfy the limit weak shadowing property, (c) f is
Anosov.
