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 nonexpansive operators studied in Chapter 4. Our investigation of monotone operators will rely heavily on the Fitzpatrick function.
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© 2011 Springer Science+Business Media, LLC
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Bauschke, H.H., Combettes, P.L. (2011). Monotone Operators. In: Convex Analysis and Monotone Operator Theory in Hilbert Spaces. CMS Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9467-7_20
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DOI: https://doi.org/10.1007/978-1-4419-9467-7_20
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Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-9466-0
Online ISBN: 978-1-4419-9467-7
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