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Monotone Operators

  • Heinz H. Bauschke
  • Patrick L. Combettes
Chapter
Part of the CMS Books in Mathematics book series (CMSBM)

Abstract

The theory of monotone set-valued operators plays a central role in many areas of nonlinear analysis. A prominent example of a monotone operator is the subdifferential operator investigated in Chapter  16. Single-valued monotone operators will be seen to be closely related to the firmly nonexpansive operators studied in Chapter  4. Our investigation of monotone operators will rely heavily on the Fitzpatrick function.

References

  1. [305]
    F. Riesz and B. Sz.-Nagy, Leçons d’Analyse Fonctionnelle, Gauthier-Villars, Paris, cinquième éd., 1968. English translation of the second edition: Functional Analysis, Dover, Mineola, NY, 1990.Google Scholar

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Authors and Affiliations

  • Heinz H. Bauschke
    • 1
  • Patrick L. Combettes
    • 2
  1. 1.Department of MathematicsUniversity of British ColumbiaKelownaCanada
  2. 2.Department of MathematicsNorth Carolina State UniversityRaleighUSA

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