As we know :

### $T:X\longrightarrow X$ is a nonexpansive mapping iff $\|Tx-Ty\|\leq\|x-y\|,$ $\forall x,y\in X$

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So my question is I want some nonexpansive mappings, I know $\sin(x)$ , $\cos(x)$ and if I'm not wrong $\frac{1}{x}$ for $x\geq1$

Thanks.