2. Suppose that T is a contraction over the metric space (S, d) with modulus (0,...

 

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2. Suppose that T is a contraction over the metric space (S, d) with modulus (0, 1). Prove that for any z, z' S and n = N, d(Tz, z)nd(z, z'). Discuss how this result can be useful in numerical computations. (5) 2. Suppose that T is a contraction over the metric space (S, d) with modulus (0, 1). Prove that for any z, z' S and n = N, d(Tz, z)nd(z, z'). Discuss how this result can be useful in numerical computations. (5)