A Monotone Hull Operation for Maps
Journal of convex analysis, Tome 24 (2017) no. 4, pp. 1295-1306
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.
@article{JCA_2017_24_4_JCA_2017_24_4_a11,
author = {M. Westdickenberg},
title = {A {Monotone} {Hull} {Operation} for {Maps}},
journal = {Journal of convex analysis},
pages = {1295--1306},
year = {2017},
volume = {24},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JCA_2017_24_4_JCA_2017_24_4_a11/}
}
M. Westdickenberg. A Monotone Hull Operation for Maps. Journal of convex analysis, Tome 24 (2017) no. 4, pp. 1295-1306. http://geodesic.mathdoc.fr/item/JCA_2017_24_4_JCA_2017_24_4_a11/