Waiting for answer This question has not been answered yet. You can hire a professional tutor to get the answer.
QUESTION
Suppose that : R^n R^n is a Lipschitz function with Lipschitz constant band 01. Prove that the function F :R^n R^n given by F (x) = x + (x) is...
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
