Theorem of Banach fixed point Cover Image

Teorema de punct fix a lui Banach
Theorem of Banach fixed point

Author(s): Ion Munteanu
Subject(s): Education and training
Published by: Asociația Cultural Științifică „Dimitrie Ghika-Comănești”
Keywords: Banach; Theorem; Cauchy sequence; contraction; fixed point;

Summary/Abstract: This article presents Banach’s Fixed Point Theorem (also known as the contraction mapping theorem or contraction mapping principle) 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.

  • Issue Year: 2016
  • Issue No: 5
  • Page Range: 275-282
  • Page Count: 8
  • Language: Romanian