Question: Prove corollary 2.5.3. Let f: X X be an operator on a complete metric space X. Suppose that for some integer N, the function

Prove corollary 2.5.3.
Let f: X → X be an operator on a complete metric space X. Suppose that for some integer N, the function fN: X → X is a contraction. Then f has a unique fixed point.

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