Some results on s-limit shadowing and Li-Yorke type chaos

In [13], for any continuous self-map of a compact metric space with s-limit shadowing, by using a $G_{\delta }$-partition of the phase space, a global description of Li-Yorke type chaos (with respect to several particular Furstenberg families) is obtained. In this paper, we complement the results in [13] by some results concerning the s-limit shadowing and general Furstenberg families. An example is also given to illustrate the results.