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.
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14 January 2020
The original version of this book was inadvertently published without updating the following corrections in Chapters 1, 2, 3, 6–13, 17, 18, 20, 23, 24, 26, 29, 30 and back matter. These are corrected now.
References
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.
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Bauschke, H.H., Combettes, P.L. (2017). Monotone Operators. In: Convex Analysis and Monotone Operator Theory in Hilbert Spaces. CMS Books in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-48311-5_20
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DOI: https://doi.org/10.1007/978-3-319-48311-5_20
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