Abstract
In previous work, a topological conjugacy between PM functions and their iterative roots, which are increasing on the characteristic interval, was considered. In the present paper, we continue to investigate those functions that are decreasing on the characteristic interval. The differences come from the fact that neither orientation nor monotonicity can be preserved under iteration in the decreasing case. Thus, we need to partition the whole interval with a different manner and then prove the existence of topological conjugacy on each sub-interval. We also give a construction method for the conjugacies.
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