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<p>The aim of this note is to present a simple observation that a slight refinement of thecontraction mapping principle allows one to recover the precise convergence rate in thePicard – Lindelöf theorem.</p>

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

  • 期刊论文

  • 发表日期：

    2025年8月11日

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  • Alexander I. Bufetov,
  • Ilya I. Zavolokin

摘要

The aim of this note is to present a simple observation that a slight refinement of thecontraction mapping principle allows one to recover the precise convergence rate in thePicard – Lindelöf theorem.