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Exercise 3. 1) Let (X, d) be a metric space. Show that f X → R is Lipschitz with Lipsch constant L if and only if f(x) ≤ f(y) + Ld(x, y), for all x, y € X. antrie

Exercise 3. 1) Let (X, d) be a metric space. Show that f X → R is Lipschitz with Lipsch constant L if and only if f(x) ≤ f(y) + Ld(x, y), for all x, y € X. antrie

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Exercise 3. 1) Let (X, d) be a metric space. Show that f: X→ R is Lipschitz with Lipschitz constant L if and only if f(x) ≤ f(y) + Ld(x, y), for all x, y € X.
Transcribed Image Text:Exercise 3. 1) Let (X, d) be a metric space. Show that f: X→ R is Lipschitz with Lipschitz constant L if and only if f(x) ≤ f(y) + Ld(x, y), for all x, y € X.
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