Convex Analysis and Monotone Operator Theory in Hilbert Spaces

Bauschke, H. H., & Combettes, P. L. (2017). Convex Analysis and Monotone Operator Theory in Hilbert Spaces. Springer.

Type

Book

Intellectual base

Review or monograph

Year

2017

DOI

10.1007/978-3-319-48311-5

ISBN

9783319483108

Link

https://doi.org/10.1007/978-3-319-48311-5

Cited by

5 citations across 5 artifacts.

Domain-specific

• Metric Map (Nonexpansive Map)
  • The domain geometry is essential.
• Metric projection
  • The reach of a set describes a neighborhood of unique projection; it is not the projection mapping itself.
• Moreau Envelope
  • Indicator functions recover squared distance to a closed convex set, and absolute-value or norm penalties yield explicit piecewise-smooth envelopes.
• Proper Convex Function
  • Extra hypotheses such as closedness, lower semicontinuity, coercivity, differentiability, or strict convexity remain separate.
• Proximal operator
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.

Verification

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Registry ID ref:659177f0045c · see in the full table