  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.
