Journal of Convex Analysis 24 (2017), No. 4, 1295--1306
Copyright Heldermann Verlag 2017
A Monotone Hull Operation for Maps
Michael Westdickenberg
Lehrstuhl für Mathematik / Analysis, RWTH Aachen University, Templergraben 55, 52062 Aachen, Germany
mwest@instmath.rwth-aachen.de
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.
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