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20102025
most citedA generalization of Istratescu's fixed point theorem for convex contractions

2 citations · 11 across the 15 of their papers we have counts for

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math.DS2025

The canonical projection associated with a mixed possibly infinite iterated function system

Bogdan-Cristian Anghelina, Radu Miculescu, Alexandru Mihail

This paper provides an alternative description for the fixed points of the fractal operator associated with a mixed possibly infinite iterated function system via a canonical proje…

math.DS2023

On the range of fractal interpolation functions

Bogdan Anghelina, Radu Miculescu, María Antonia Navascués

In this paper, based on the results from [On the localization of Hutchinson-Barnsley fractals, Chaos Solitons Fractals, 173 (2023), 113674], we generate coverings (consisting of fi…

math.DS2023

Covers of fractal interpolation surfaces with finite families of octahedrons

Bogdan Anghelina, Radu Miculescu

In our previous work, On the localization of Hutchinson-Barnsley fractals, Chaos Solitons Fractals, 173 (2023), 113-674, we presented a method for finding a finite family of closed…

math.DS2022

A characterization of the fuzzy fractals generated by an orbital fuzzy iterated function system

Radu Miculescu, Alexandru Mihail, Irina Savu

Orbital fuzzy iterated function systems are obtained as a combination of the concepts of iterated fuzzy set system and orbital iterated function system. It turns out that, for such…

math.DS2021

Diameter Diminishing To Zero IFSs

Radu Miculescu, Alexandru Mihail

In this paper we introduce the notion of diameter diminishing to zero iterated function system, study its properties and provide alternative characterizations of it.

math.DS2019

A new algorithm that generates the image of the attractor of a generalized iterated function system

Radu Miculescu, Alexandru Mihail, Silviu-Aurelian Urziceanu

We provide a new algorithm (called the grid algorithm) designed to generate the image of the attractor of a generalized iterated function system on a finite dimensional space and w…

math.DS2011★ 2 cited

The Independence of p of the Lipscomb's L(A) Space Fractalized in l^{p}(A)

Radu Miculescu, Alexandru Mihail

In one of our previous papers we proved that, for an infinite set A and p\in[1,\infty), the embedded version of the Lipscomb's space L(A) in l^{p}(A), p\in[1,\infty), with the metr…