Abstract

We introduce and study two operations on functions that may be useful on one hand for computing the distance to an epigraph and, on the other hand, for dealing with constraints in mathematical programming. Both of them involve the concept of monotone norms. A special attention is payed to convex functions.

Author information

Contact details are reproduced from the original publication and may be historical.

M. Volle

Department of Mathematics, University of Avignon, 33, rue Louis Pasteur, F-84000 Avignon, France.

Keywords

  • Monotone norms
  • epigraphs
  • level sets
  • argmin calculus
  • convex duality
  • subdifferential calculus

Suggested citation

M. Volle. “The Use of Monotone Norms in Epigraphical Analysis.” Journal of Convex Analysis 1 (1994), No. 2, 203–224. https://doi.org/10.68381/jca01015

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Published by Heldermann Verlag, 1994. Rights now held by Banach Press.