Murugan, V.Suresh Kumar, M.S.2026-02-052020Journal of Analysis, 2020, 28, 1, pp. 89-939713611https://doi.org/10.1007/s41478-017-0044-7https://idr.nitk.ac.in/handle/123456789/24003Iterative root problem is one of the classical problem in analysis and isdescribed as follows: given a topological space X, a continuous self map F on X and a fixed positive integer n, to find another self map f on X such that fn= F. This problem is solved only for a particular class of continuous functions and is still unsolved for any continuous function. In this paper, we present results on non-existence of iterative roots of continuous functions having finitely manynon-isolated forts. © 2017, Forum D'Analystes, Chennai.Characteristic intervalFortsIterative roots