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

Income 

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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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