Extremality of Convex Sets with Some Applications
Optimization and Control
2016-10-03 v1
Abstract
In this paper we introduce an enhanced notion of extremal systems for sets in locally convex topological vector spaces and obtain efficient conditions for set extremality in the convex case. Then we apply this machinery to deriving new calculus results on intersection rules for normal cones to convex sets and on infimal convolutions of support functions.
Cite
@article{arxiv.1608.07726,
title = {Extremality of Convex Sets with Some Applications},
author = {Boris Mordukhovich and Nguyen Mau Nam},
journal= {arXiv preprint arXiv:1608.07726},
year = {2016}
}