LAUSR

Iterative Roots of Clenched Single-Plateau Functions

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0 Published in 2017 at "Results in Mathematics"

DOI: 10.1007/s00025-016-0625-9

Abstract: Concerning iterative roots, a main difficulty comes from forts of continuous functions. A case of infinitely many forts is the class of functions with plateaus. In this paper we consider functions in this class and… read more here.

Keywords: single plateau; iterative roots; plateau functions; roots clenched ... See more keywords

Subcommuting and comparable iterative roots of order preserving homeomorphisms

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0 Published in 2019 at "Arab Journal of Mathematical Sciences"

DOI: 10.1016/j.ajmsc.2019.10.003

Abstract: It 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… read more here.

Keywords: order preserving; preserving homeomorphisms; iterative roots; roots order ... See more keywords

Iterative roots of exclusive multifunctions

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0 Published in 2020 at "Journal of Difference Equations and Applications"

DOI: 10.1080/10236198.2020.1862810

Abstract: In this paper, we investigate iterative roots of strictly monotone upper semi-continuous multifunctions having finitely many jumps. Known results are concerning roots of order 2 for multifunctions of exact one jump. For the general investigation,… read more here.

Keywords: exclusive multifunctions; roots exclusive; iterative roots;

Iterative roots of some functions

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2 Published in 2018 at "Turkish Journal of Mathematics"

DOI: 10.3906/mat-1612-67

Abstract: The iterative equation f(x) = g(x) , x ∈ X for a given function g and a positive integer q is solved in the following two main cases: (i) X = Z , g(x) =… read more here.

Keywords: roots functions; iterative roots;