Suppose that eta rnrarr rn is a lipschitz function with


Suppose that η : R^n→ R^n is a Lipschitz function with Lipschitz constant αband 0≤α<1. Prove that the function F :R^n →R^n given by F (x) = x + η(x) is bijective. Hint: Use a contraction argument 

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Mathematics: Suppose that eta rnrarr rn is a lipschitz function with
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