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Unformatted text preview: ) be a complete metric space and T be a contraction mapping on X with modulus ∈ (0, 1). Let x * be the unique fixed point of T . Show that for any x ∈ X , ). , ( 1 1 *) , ( 1 x T x T d x x T d n n n +≤ This provides a lower bound on the speed at which the sequence { x n } is converging to x * that does not require prior knowledge of x *....
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This note was uploaded on 01/09/2011 for the course ECON 7140 taught by Professor Kutler during the Spring '10 term at Utah Valley University.
 Spring '10
 Kutler
 Microeconomics

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