paper

On the Picard-Lindelöf Argument and the Banach-Caccioppoli Contraction Mapping Principle

arXiv:2512.24283

Abstract

The aim of this note is to present the simple observation that a slight refinement of the Contraction Mapping Principle allows one to recover the precise convergence rate in the Picard-Lindelöf Theorem.

arXiv comment16 pages