We are in the metric space of the continous parametric curves with the uniform metric. Let $\Phi(\alpha)(t)=-\alpha(t)$. Is this a contraction? I don’t know how could I start this problem. Also, does it has a fixed point
2026-03-11 12:44:11.1773233051
Is $\Phi(\alpha)(t)=-\alpha(t)$ a contraction at the space of parametric curves
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