The Banach Contraction Theorem: The Classical Proof

Автор: MathGems

Загружено: 2022-01-15

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We state and prove the Banach Contraction Theorem which guarantees the existence and uniqueness of fixed points of certain self-maps of complete metric spaces. It is named after the great mathematician Stefan Banach. It is one of the main tools used in Partial Differential Equations to prove existence and uniqueness of solutions. We will present important applications in future videos.

The Banach Contraction Theorem: The Classical Proof

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