Murugan, V.Suresh Kumar, M.2026-02-052019Arab Journal of Mathematical Sciences, 2019, 26, 46054, pp. 203-21013195166https://doi.org/10.1016/j.ajmsc.2019.10.003https://idr.nitk.ac.in/handle/123456789/24331It is known that the iterative roots of continuous functions are not necessarily unique, if it exist. In this note, by introducing the set of points of coincidence, we study the iterative roots of order preserving homeomorphisms. In particular, we prove a characterization of identical iterative roots of an order preserving homeomorphism using the points of coincidence of functions. © 2019, Veerapazham Murugan and Murugan Suresh Kumar.Commuting functionsComparable functionsHomeomorphismsIterative rootsSubcommuting functions