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