activity
20102022
most citedSelf-similar vector measures of Markov-type operators

1 citations · 2 across the 6 of their papers we have counts for

collaborators

8 papers

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.CA2017

Operators on Spaces of Functions and Measures. Vector Invariant (Fractal) Measures

Ion Chiţescu, Loredana Ioana, Radu Miculescu +1

We consider a general schema involving measure spaces, contractions and linear and continuous operators. Within the framework of this schema we use our sesquilinear uniform integra…

math.CA20171 cited

Invariant measures of Markov operators associated to iterated function systems consisting of phi-max-contractions with probabilities

Flavian Georgescu, Radu Miculescu, Alexandru Mihail

We prove that the Markov operator associated to an iterated function system consisting of phi-max-contractions with probabilities has a unique invariant measure whose support is th…

math.CA2017

A generalization for a finite family of functions of the converse of Browder's fixed point theorem

Radu Miculescu, Alexandru Mihail

Taking as model the attractor of an iterated function system consisting of phi-contractions on a complete and bounded metric space, we introduce the set-theoretic concept of family…