On the Picard – Lindelöf Argument and the Banach – Caccioppoli Contraction Mapping Principle
Alexander Igorevich Bufetov, I. I. Zavolokin · Regular and Chaotic Dynamics · 2025
The aim of this note is to present a simple observation that a slight refinement of the contraction mapping principle allows one to recover the precise convergence rate in the Picard – Lindelöf theorem.