Prove corollary 2.5.3. Let f: X X be an operator on a complete metric space X.

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Prove corollary 2.5.3.
Let f: X → X be an operator on a complete metric space X. Suppose that for some integer N, the function fN: X → X is a contraction. Then f has a unique fixed point.

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Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

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Question Posted: May 02, 2016 11:36 AM

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Prove corollary 2.5.3. Let f: X X be an operator on a complete metric space X.

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By the Banach fixed point theorem has a unique fixed point Let be the Lipschi...View the full answer

Foundations of Mathematical Economics

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