Banach fixed-point theorem

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Banach fixed-point theorem - Wikipedia Jump to content From Wikipedia, the free encyclopedia Theorem about metric spaces In mathematics , the Banach fixed-point theorem (also known as the contraction mapping theorem or contractive mapping theorem or Banach–Caccioppoli 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. It can be understood as an abstract formulation of Picard's method of successive approximations . [ 1 ] The

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