Diffeomorphism on $S^2$ to $S^2$ with at least two fixed points

Question

Let $f:S^2\to S^2$ diffeomorphism orientation-preserving such that for every fixed point of $f$, $1$ is not an eigenvalue of $df_p$. Then $f$ admits at least two fixed points.

I'd to construct a concrete example of a function as above. Do you know any?