Question: Prove corollary 2.5.2. Let f : X X be a contraction mapping on the complete metric space X with fixed point x. If S

Prove corollary 2.5.2.
Let f : X → X be a contraction mapping on the complete metric space X with fixed point x. If S is a closed subset of X and f (S) ⊆ S, then x ∊ S.

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