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

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.

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Publication Details

Journal
Regular and Chaotic Dynamics
Published
2025-08-01
DOI
https://doi.org/10.1134/s1560354725040070
Primary Topic
Optimization and Variational Analysis
Type
article
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On the Picard – Lindelöf Argument and the Banach – Caccioppoli Contraction Mapping Principle

I. I. Zavolokin, Alexander I. Bufetov
Regular and Chaotic Dynamics
Optimization and Variational Analysis
article

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

I. I. Zavolokin, Alexander I. Bufetov
article en

Abstract

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.

Regular and Chaotic DynamicsVol. 30(4)
Russian Academy of Sciences (RU), Steklov Mathematical Institute (RU)
Reduced inequalities
Openalex Percentile: Top 78%
Optimization and Variational Analysis
DOISourceOpenAlex
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On the Picard – Lindelöf Argument and the Banach – Caccioppoli Contraction Mapping Principle — I. I. Zavolokin, Alexander I. Bufetov · Regular and Chaotic Dynamics (2025) | TGRS Research Map | TGRS