Question: Suppose that g is continuously differentiable on some interval (c, d) that contains the fixed point p of g. Show that if |g'( p)| <

Suppose that g is continuously differentiable on some interval (c, d) that contains the fixed point p of g. Show that if |g'( p)| < 1, then there exists a δ > 0 such that if |p0 − p| ≤ δ, then the fixed-point iteration converges.

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