This is a follow-up to this post, to correct an impression on my behalf. What are examples of continuous, non-affine, contractions on $\mathbb{R}$. That is, maps $f$ satisfying $$ |f(x)-f(y)|< |x-y| \mbox{ if $x\neq y$} $$ which are not of the form $f(x)=Ax +b$ and are continuous and surjective?
2026-04-01 00:30:00.1775003400
Example of Non-Affine Lipschitz Contractions
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