Proximity Operators

Bauschke, Heinz H.; Combettes, Patrick L.

doi:10.1007/978-3-319-48311-5_24

Heinz H. Bauschke¹⁰ &
Patrick L. Combettes¹¹

Part of the book series: CMS Books in Mathematics ((CMSBM))

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The original version of this chapter was revised. The correction to this chapter is available at https://doi.org/10.1007/978-3-319-48311-5_31

Abstract

Recall from Definition 12.23 and Proposition 12.28 that the proximity operator of \(f\in {\varGamma _0({\mathcal H})}\) is the firmly nonexpansive operator

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Change history

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

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Authors and Affiliations

Department of Mathematics, University of British Columbia, Kelowna, BC, Canada
Heinz H. Bauschke
Department of Mathematics, North Carolina State University, Raleigh, NC, USA
Patrick L. Combettes

Authors

Heinz H. Bauschke
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Patrick L. Combettes
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Bauschke, H.H., Combettes, P.L. (2017). Proximity 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_24

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DOI: https://doi.org/10.1007/978-3-319-48311-5_24
Published: 01 March 2017
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-48310-8
Online ISBN: 978-3-319-48311-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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