Abstract: A simple proof of global inverse function theorem in R^{n} is given. A global homeomorphic version of the theorem is proved first. A global diffeomorphic version follows by an application of ...

This is a preview. Log in through your library . Abstract Under the hypothesis that the derivative satisfies some kind of weak Lipschitz condition, a proper condition which makes Newton's method ...

Abstract: We construct a domain-theoretic calculus for Lipschitz and differentiate functions, which includes addition, subtraction and composition. We then develop a domain-theoretic version of the ...