On iterative roots of order $n$ of some multifunctions with a unique set-value point

In [6], W. Jarczyk and W. Zhang considered the existence of square iterative roots of multifunctions with exactly one set-value point, and next, together with L. Li and J. Jarczyk, continued that study in [9]. In this paper, we improve and generalize the main results from [6] and one of the theorems from [9]. Moreover, our generalization also deals with the iterative roots of order $n$.