Monotone Operators
Heinz H. Bauschke, Patrick L. Combettes · CMS books in mathematics · 2017
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.