On The Inverse Function Theorem and its Generalization in the Unitary Space On The Inverse Function Theorem and its Generalization in the Unitary Space

Abstract

It is obvious that the inverse function theorem holds in the Banach space for R . In my paper on the
generalized inverse function theorem, it was observed that the inverse function theorem also holds for
Rn . However, in this paper, I attempted to establish that it holds in the unitary space and consequently
can be extended to Cn ; the generalized unitary space.