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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…