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give an example of a function $f:\Bbb R\to\Bbb R$ such that $\forall x,y \in \Bbb R$,$|f(x)-f(y)|\lt|x-y|$ but there is no $x \in\Bbb R$ such that $f(x)=x$

rishi
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    Something simple like $x+1$ ? (By the way, if you really meant $<$, notice that it is not possible : e.g. with $x = y$) – servabat Oct 11 '15 at 14:38

1 Answers1

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Hint: What must happen if f is continuous?

Yunus Syed
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