Abstract

The convex hull of a function φ is its largest l.s.c. convex minorant. In this paper, we propose a similar construction for monotone vector fields. The definition is based on the theory of autoconjugate functions (which are also called self-dual Lagrangians) and their relation to monotone maps

Author information

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

Michael Westdickenberg

Lehrstuhl für Mathematik / Analysis, RWTH Aachen University, Templergraben 55, 52062 Aachen, Germany

mwest@instmath.rwth-aachen.de

Keywords

  • Convex hull
  • monotone maps
  • Fitzpatrick theory
  • proximal average

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Suggested citation

M. Westdickenberg. “A Monotone Hull Operation for Maps.” Journal of Convex Analysis 24 (2017), No. 4, 1295–1306. https://doi.org/10.68381/jca24074

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Published by Heldermann Verlag, 2017. Rights now held by Banach Press LLC.