# I Contractive and Lipschitz

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1. Jun 18, 2016

### KF33

I was looking at this definition of a contractive function and the only difference I saw between it and a Lipschitz function was the b and M. I am just wondering how you look at the connections between them.

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2. Jun 18, 2016

### wrobel

for contraction mapping the main thing is that $b<1$. Moreover, contraction takes a metric space into itself. Each contraction is a Lip. mapping