Additional Topics

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


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.


Banach Space Topological Space Compact Operator Hausdorff Space Normed Linear Space 
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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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