Hadamard Inverse Function Theorem Proved by Variational Analysis

TL;DR

This paper provides a novel proof of the Hadamard Inverse Function Theorem using variational analysis techniques, building on ideas from Ekeland and Sere.

Contribution

It introduces a new proof approach for the Hadamard Inverse Function Theorem via variational analysis, expanding the toolkit for inverse function theorems.

Findings

Proof of Hadamard Inverse Function Theorem established using variational analysis

Adapts ideas from Ekeland and Sere for the proof

Demonstrates the applicability of variational methods to classical theorems

Abstract

We present a proof of Hadamard Inverse Function Theorem by the methods of Variational Analysis, adapting an idea of I. Ekeland and E. Sere.