Suppose $A\subseteq \mathbb R^n$ be convex and closed. Then for every $x\in \mathbb R^n$ there exists a unique point $y\in A$ such that for every $z \in A$ we have $$\|x-y\|= \min \|x-z\|,z \in A.$$
2026-04-25 10:30:20.1777113020
Problem in real analysis.
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