Abstract
As seen in Chapter 26, the solutions to variational problems can be characterized by fixed point equations involving proximity operators. Since proximity operators are firmly nonexpansive, they can be used to devise efficient algorithms to solve minimization problems. Such algorithms, called proximal algorithms, are investigated in this chapter. Throughout, K is a real Hilbert space.
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© 2011 Springer Science+Business Media, LLC
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Bauschke, H.H., Combettes, P.L. (2011). Proximal Minimization. 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_27
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DOI: https://doi.org/10.1007/978-1-4419-9467-7_27
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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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