1.2. Let X, d be a complete metric space, f: X→ X a function satisfying d(f(x1), f(xo)) ≤ Ld(x1, xo) for all xo, 1 EX for some L< 1. Show that there is x EX such that f(x) = x.

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1.2. Let X, d be a complete metric space, f: X→ X a function satisfying
d(f(x1), f(xo)) ≤ Ld(x1, xo) for all xo, 1 EX
= I.
for some L< 1. Show that there is x EX such that f(x) =
Transcribed Image Text:1.2. Let X, d be a complete metric space, f: X→ X a function satisfying d(f(x1), f(xo)) ≤ Ld(x1, xo) for all xo, 1 EX = I. for some L< 1. Show that there is x EX such that f(x) =
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