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Noun Named Entity
Categories: Articles containing proofs, Wikipedia articles incorporating text from PlanetMath, Fixed-point theorems, Metric geometry, Topology
EN
Banach fixed-point theorem  Banach's Contraction Principle  Banach contraction mapping principle  Banach contraction mapping theorem  Banach contraction principle
EN
In mathematics, the Banach fixed-point theorem is an important tool in the theory of metric spaces; it guarantees the existence and uniqueness of fixed points of certain self-maps of metric spaces, and provides a constructive method to find those fixed points. Wikipedia
Definitions
Relations
Sources
EN
In mathematics, the Banach fixed-point theorem is an important tool in the theory of metric spaces; it guarantees the existence and uniqueness of fixed points of certain self-maps of metric spaces, and provides a constructive method to find those fixed points. Wikipedia
Theorem about metric spaces Wikidata
IS A
fixed-point theorem
DISCOVERER OR INVENTOR
Stefan Banach
Renato Caccioppoli
NAMED AFTER
Stefan Banach
Renato Caccioppoli
Wikipedia
EN
Banach fixed-point theorem
Wikidata
EN
Banach fixed-point theorem
Wikipedia Redirections
EN
Banach's Contraction Principle, Banach's contraction principle, Banach contraction mapping principle, Banach contraction mapping theorem, Banach contraction principle, Banach fixed point theorem, Contracting-mapping principle, Contraction-mapping principle, Contraction mapping principle, contraction mapping theorem, contractive mapping theorem
Wikidata Alias
EN
Banach–Caccioppoli fixed-point theorem, contraction mapping theorem, contractive mapping theorem

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