2011 | OriginalPaper | Buchkapitel
Monotone Operators
verfasst von : Heinz H. Bauschke, Patrick L. Combettes
Erschienen in: Convex Analysis and Monotone Operator Theory in Hilbert Spaces
Verlag: Springer New York
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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 nonexpansive operators studied in Chapter 4. Our investigation of monotone operators will rely heavily on the Fitzpatrick function.