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- E2
[0TH]Prerequisites:[0VP].Let \((X,d)\) be a compact metric space, and let \(f:X→ X\) be such that
\[ ∀ x,y∈ X, x≠ y⇒ d(f(x),f(y)) {\lt} d(x,y)\quad . \]
Show that \(f\) has a single fixed point.
This result is sometimes called Edelstein’s Theorem.
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