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Notion of contractive map for certain set-valued functions
A map $f:\mathbb{C} \to \mathbb{C}$ is contractive (and Lipschitz) if
for every $z_1,z_2$, we have $|f(z_1)-f(z_2)|\le K|z_1-z_2|$ for some positive $K<1$. This implies the existence of a unique, attr …