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  • Ward Cheney
Part of the Graduate Texts in Mathematics book series (GTM, volume 208)

Abstract

The Contraction Mapping Theorem was proved in Section 4.2, and was accompanied by a number of applications that illustrate its power. In the literature, past and present, there are many other fixed-point theorems, based upon a variety of hypotheses. We shall sample some of these theorems here.

Keywords

Banach Space Topological Space Compact Operator Hausdorff Space Normed Linear Space 
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 Science+Business Media New York 2001

Authors and Affiliations

  • Ward Cheney
    • 1
  1. 1.Department of MathematicsUniversity of Texas at AustinAustinUSA

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