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On the invariance of the arithmetic mean with respect to generalized Bajraktarević means
The purpose of this paper is to investigate the following invariance equation involving two 2-variable generalized Bajraktarević means, i.e., we aim...
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Existence, construction and extension of continuous solutions of an iterative equation with multiplication
The iterative equation is an equality with an unknown function and its iterates, most of which found from references are a linear combination of...
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A generalized result on the polynomial-like iterative equation
Most results on the polynomial-like iterative equation are given under the condition that the given function is monotone, while a work by L. Liu and...
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C0 conjugacy between PM functions with nonmonotonicity height equal to 1
In this paper, a topological classification of piecewise monotone functions (abbreviated as PM functions) with nonmonotonicity height equal to 1...
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Aczél’s iterations for three-variable means
We extend the notion of Aczél’s iterations of a mean to three-variable means and prove that these iterations can be used to define a continuous and...
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Flatness, plateau limit and limit length of single-plateau functions
In this paper we consider iteration of single-plateau functions, an important class of continuous functions with infinitely many forts, and...
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Single-valley solutions of the second type of FKS equation
The Feigenbaum–Kadanoff–Shenker (FKS) equation for universal scaling in circle maps characterizes the quasiperiodic route to chaos. We reduce the FKS...
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Periodic Solutions of a Second-Order Functional Differential Equation with State-Dependent Argument
In this paper, we use Schauder and Banach fixed point theorem to study the existence, uniqueness and stability of periodic solutions of a class of...
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A new computable sufficient condition for the convergence of subdivision schemes with nonnegative masks
We are interested in nontrivial conditions on the nonnegative masks that guarantee the convergence of the correspondent subdivision schemes. Roughly...
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Solution of a problem of Z. Daróczy, J. Jarczyk and W. Jarczyk and generalization of a theorem of R. Ger and T. Kochane
We generalize a theorem proved by R. Ger and T. Kochanek [
4 ]. Hence we obtain the solution of a problem posed by Z. Daróczy, J. Jarczyk and W.... -
An extension of Matkowski’s and Wardowski’s fixed point theorems with applications to functional equations
In this paper, we prove a fixed point theorem for a system of maps on the finite product of metric spaces. Our result generalizes the result of...