Skip to main content

Max and Min

  • Chapter
  • 3475 Accesses

Part of the Grundlehren der mathematischen Wissenschaften book series (GL,volume 317)

Questions about the maximum or minimum of a function f relative to a set C are fundamental in variational analysis. For problems in n real variables, the elements of C are vectors x = (x1,…, x n ) ∊ ℝn. In any application, f or C are likely to have special structure that needs to be addressed, but we begin here with concepts associated with maximization and minimization as general operations.

Keywords

  • Convex Function
  • Lower Semicontinuity
  • Cluster Point
  • Envelope Function
  • Proximal Mapping

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • DOI: 10.1007/978-3-642-02431-3_1
  • Chapter length: 37 pages
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
eBook
USD   149.00
Price excludes VAT (USA)
  • ISBN: 978-3-642-02431-3
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD   199.99
Price excludes VAT (USA)
Hardcover Book
USD   199.99
Price excludes VAT (USA)

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Rights and permissions

Reprints and Permissions

Copyright information

© 1998 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

(1998). Max and Min. In: Variational Analysis. Grundlehren der mathematischen Wissenschaften, vol 317. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02431-3_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-02431-3_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62772-2

  • Online ISBN: 978-3-642-02431-3

  • eBook Packages: Springer Book Archive