2 citations · 11 across the 15 of their papers we have counts for
19 papers
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…
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…
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…
On the connectivity of graph Lipscomb's space
W. Kubiś, R. Miculescu, A. Mihail +1
A central role in topological dimension theory is played by Lipscomb's space since it is a universal space for metric spaces of weight . On the one han…
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…
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.
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…
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…
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…
Iterated function systems consisting of phi-max-contractions have attractor
Flavian Georgescu, Radu Miculescu, Alexandru Mihail
We associate to each iterated function system consisting of phi-max-contractions an operator (on the space of continuous functions from the shift space on the metric space correspo…
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…
Self-similar vector measures of Markov-type operators
Ion Chiţescu, Loredana Ioana, Radu Miculescu +1
We consider iterated function systems (finite or countable), together with linear and continuous operators on Hilbert spaces, which enable us to construct Markov-type operators. Un…
A generalization of Istratescu's fixed point theorem for convex contractions
Radu Miculescu, Alexandru Mihail
In this paper we prove a generalization of Istrăţescu's theorem for convex contractions. More precisely, we introduce the concept of iterated function system consisting of convex c…
A generalization of Matkowski's fixed point theorem and Istratescu's fixed point theorem concerning convex contractions
Radu Miculescu, Alexandru Mihail
In this paper we obtain a generalization of Matkowski's fixed point theorem and Istratescu's fixed point theorem concerning convex contractions in the framework of b-metric spaces.…
Caristi-Kirk type and Boyd&Wong-Browder-Matkowski-Rus type fixed point results in b-metric spaces
Radu Miculescu, Alexandru Mihail
In this paper, based on a lemma giving a sufficient condition for a sequence with elements from a b-metric space to be Cauchy, we obtain Caristi-Kirk type and Boyd&Wong-Browder-Mat…
New fixed point theorems for set-valued contractions in b-metric spaces
Radu Miculescu, Alexandru Mihail
In this paper we indicate a way to generalize a series of fixed point results in the framework of b-metric spaces and we exemplify it by extending Nadler's contraction principle fo…
Monge-Kantorovich norms on spaces of vector measures
Ion Chitescu, Radu Miculescu, Lucian Nita +1
One considers Hilbert space valued measures on the Borel sets of a compact metric space. A natural numerical valued integral of vector valued continuous functions with respect to v…
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…
A characterization of compact operators via the non-connectedness of the attractors of a family of IFSs
Alexandru Mihail, Radu Miculescu
In this paper we present a result which establishes a connection between the theory of compact operators and the theory of iterated function systems. For a Banach space X, S and T…