Iterative roots of continuous functions and Hyers–Ulam stability

Simple item page
dc.contributor.authorMurugan, V.
dc.contributor.authorPalanivel R.
dc.date.accessioned2021-05-05T10:27:28Z
dc.date.available2021-05-05T10:27:28Z
dc.date.issued2021
dc.description.abstractIn 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.en_US
dc.identifier.citationAequationes Mathematicae Vol. 95 , 1 , p. 107 - 124en_US
dc.identifier.urihttps://doi.org/10.1007/s00010-020-00739-w
dc.identifier.urihttps://idr.nitk.ac.in/jspui/handle/123456789/15604
dc.titleIterative roots of continuous functions and Hyers–Ulam stabilityen_US
dc.typeArticleen_US

Files

Collections

1. Journal Articles