Diffeomorphisms with the s-limit shadowing property

Let Diff(M) be the space of diffeomorphisms of a closed C ^∞ manifold M endowed with the C ¹-topology, and denote by ?(f) the chain recurrent set of f?∈?Diff(M). In this article, we show that C ¹-generically f _|?(f) has the s-limit shadowing property if and only if f satisfies both Axiom A and no-cycle condition.