On conditions guaranteeing that mappings are elements of iteration groups
Copyright policy )On conditions guaranteeing that mappings are elements of iteration groups
In this paper, the author proves that if \(\mathfrak{F}=\{f^v: I\to I, v\in V\}\) is a suitable iteration group on an open interval \(I\) and a function \(g: I\to I\) is continuous at least at one point and commutes with two mappings \(f^a, f^b\in\mathfrak{F}\) with \(\frac{b}{a}\) being irrational, then \(g\in\mathfrak{F}\). Moreover, if \(f^a<\operatorname{id}
- Pedagogical University Mozambique
- Polish Academy of Sciences Poland
- Pedagogical University of Kraków Poland
- Institute of Mathematics Poland
Applied Mathematics, Iteration group, System of functional inequalities, Commuting mappings, topologically conjugate mappings, Dynamical systems involving maps of the interval, additive function, system of functional inequalities, commuting mappings, iteration group, Additive function, Topologically conjugate mappings, Iteration theory, iterative and composite equations
Applied Mathematics, Iteration group, System of functional inequalities, Commuting mappings, topologically conjugate mappings, Dynamical systems involving maps of the interval, additive function, system of functional inequalities, commuting mappings, iteration group, Additive function, Topologically conjugate mappings, Iteration theory, iterative and composite equations
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!