Convex analysis in groups and semigroups: a sampler
Optimization and Control
2015-10-16 v1
Abstract
We define convexity canonically in the setting of monoids. We show that many classical results from convex analysis hold for functions defined on such groups and semigroups, rather than only on vector spaces. Some examples and counter-examples are also discussed.
Keywords
Cite
@article{arxiv.1510.04480,
title = {Convex analysis in groups and semigroups: a sampler},
author = {Jonathan M. Borwein and Ohad Giladi},
journal= {arXiv preprint arXiv:1510.04480},
year = {2015}
}