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Fixed Points and Contraction Mappings

  • Kenneth Eriksson
  • Donald Estep
  • Claes Johnson
Chapter

Abstract

A special case of the basic problem of solving an algebraic equation f (x) = 0 takes the form: find \( \bar x \) such that
$$\bar x = g(\bar x)$$
(19.1)
where g: ℝ → ℝ is a Lipschitz continuous function.

Keywords

Lipschitz Constant Unique Fixed Point Quadratic Convergence Point Iteration Lipschitz Continuous Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Kenneth Eriksson
    • 1
  • Donald Estep
    • 2
  • Claes Johnson
    • 1
  1. 1.Department of MathematicsChalmers University of TechnologyGöteborgSweden
  2. 2.Department of MathematicsColorado State UniversityFort CollinsUSA

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