Let f: (x, y) ? (x’, y’) be a function from R 2 to R 2 defined by Use Theorem 13.2 to show that f…

Let f: (x, y) → (x', y') be a function from R2 to R2 defined by

Use Theorem 13.2 to show that f has a fixed point.

Theorem 13.2

(A fixed point theorem). Suppose that f is a mapping on a complete metric space S into S such that

 

 

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