Please use this identifier to cite or link to this item: https://idr.l4.nitk.ac.in/jspui/handle/123456789/15604
Title: Iterative roots of continuous functions and Hyers–Ulam stability
Authors: Murugan, V.
Palanivel R.
Issue Date: 2021
Citation: Aequationes Mathematicae Vol. 95 , 1 , p. 107 - 124
Abstract: In this paper, we prove that continuous non-PM functions with non-monotonicity height equal to 1 need not be strictly monotone on its range, unlike PM functions. An existence theorem is obtained for the iterative roots of such functions. We also discuss the Hyers–Ulam stability for the functional equation of the iterative root problem. © 2020, Springer Nature Switzerland AG.
URI: https://doi.org/10.1007/s00010-020-00739-w
https://idr.nitk.ac.in/jspui/handle/123456789/15604
Appears in Collections:1. Journal Articles

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