  In 2016, Hou and Wang introduced the concept of multiple mappings based on
iterated function system, which is an important branch of fractal theory. In
this paper, we introduce the definitions of sensitivity, accessibility, and
Kato's chaos of multiple mappings from a set-valued perspective. We show that
multiple mappings and its continuous self-maps do not imply each other in terms
of sensitivity and accessibility. While a sufficient condition for multiple
mappings to be sensitive, accessible and Kato's chaotic is provided,
respectively. And the sensitivity, accessibility, and Kato's chaos of multiple
mappings are preserved under topological conjugation.
