Higher-Order Differentiation and Inverse Function Theorem in Real Normed Spaces

Nakasho, Kazuhisa; Shidama, Yasunari

doi:10.2478/forma-2024-0021

Abstract

This article extends the formalization of the theory of differentiation in real normed spaces in the Mizar system. The focus is on higher-order derivatives and the inverse function theorem. Additionally, we encode the differentiability of the inversion operator on invertible linear operators.

References

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Higher-Order Differentiation and Inverse Function Theorem in Real Normed Spaces

Abstract

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