1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.CA2017★ 1 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…
math.FA2010
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…