Hutchinson without Blaschke: An alternative way to fractals

The original approach of Hutchinson to fractals considers the defining equation as a fixed point problem, and then applies Banach Contraction Principle. To do this, Blaschke Completeness Theorem is essential. Avoiding Blaschke’s result, this note presents an alternative way via Kuratowski noncompactness measure. Moreover, our technique extends existence part Hutchinson’s condensing maps instead contractions.