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Convex Analysis and Monotone Operator Theory in Hilbert Spaces pp 535–560Cite as

Projection Operators

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

Abstract

Let C be a nonempty closed convex subset of \({\mathcal {H}}\). The projection P C x of a point \(x\in {\mathcal {H}}\) onto C is characterized by (see Theorem 3.16)

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  • 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.

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Authors and Affiliations

  1. Department of Mathematics, University of British Columbia, Kelowna, BC, Canada

    Heinz H. Bauschke

  2. Department of Mathematics, North Carolina State University, Raleigh, NC, USA

    Patrick L. Combettes

Authors
  1. Heinz H. Bauschke
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  2. Patrick L. Combettes
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Bauschke, H.H., Combettes, P.L. (2017). Projection 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_29

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