Banach fixed-point theorem: Difference between revisions

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The '''Banach [[fixed point theorem]]''' (also known as the '''contraction mapping theorem''' or '''contraction mapping principle''') is an important tool in the theory of [[metric space]]s; it guarantees the existence and uniqueness of [[fixed point (mathematics)|fixed points]] of certain self maps of metric spaces, and provides a constructive method to find those fixed points. The theorem is named after [[Stefan Banach]] (1892-1945), and was first stated by Banach in [[1922]].

== The theorem==