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The Modular Perspective

Mathematics for Budding Mathematicians

Analysis

The Contraction Mapping Theorem and Your New Favorite Math Tale

December 22, 2020December 23, 2020Henry TwissLeave a comment

The contraction mapping theorem, also known as the Banach-Caccioppoli theorem, guarantees the existence of a fixed point for maps which “shrink”. In the following we’ll discuss the theorem, provide a sketch of the proof, and describe a neat application that will be sure to impress your math and non-math friends.

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Analysis
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