Iterated function systems consisting of continuous functions satisfying Banach’s orbital condition

Miculescu, Radu; Mihail, Alexandru; Savu, Irina

doi:10.2478/awutm-2018-0016

Abstract

We introduce the concept of iterated function system consisting of continuous functions satisfying Banach’s orbital condition and prove that the fractal operator associated to such a system is weakly Picard. Some examples are provided.

References

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Iterated function systems consisting of continuous functions satisfying Banach’s orbital condition

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