Skip to main content

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

  • 7242 Accesses

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)

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

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.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this chapter

Cite this chapter

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

Download citation

Publish with us

Policies and ethics