My question is about, trying to show that the vector function $g = (g_1,\dots,g_n)$ is a contraction in the p-norm with $0 < L < n^{-1/p}$ and $1 \leq p < \infty$. After doing this, show that $g$ is a contraction in the infinity norm. How would one go about doing this?
2025-01-13 08:00:10.1736755210
Showing that g is a contraction in the ∞-norm, by using the p-norm
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