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Elementary Fixed Point Theorems

  • Andrzej Granas
  • James Dugundji
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

In this chapter we provide an introduction to those topics of fixed point theory that for the most part involve only the notions of completeness, order, and convexity. In spite of their elementary character, the results given here have a number of significant applications. Some of these are presented at the end of the chapter.

Keywords

Banach Space Common Fixed Point Nonempty Closed Convex Subset Normed Linear Space Unique Fixed Point 
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 2003

Authors and Affiliations

  • Andrzej Granas
    • 1
    • 2
  • James Dugundji
  1. 1.Département de Mathématiques et StatistiqueUniversité de MontréalMontréalCanada
  2. 2.Department of Mathematics and Computer ScienceUniversity of Warmia and MazuryOlsztynPoland

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