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

Published 30 Dec 2025 in math.CA, math.DS, math.FA, and math.HO | (2512.24283v1)

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.

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