The NC-proximal average for multiple functions
Functional Analysis
2019-09-16 v1 Optimization and Control
Abstract
The NC-proximal average is a parametrized function used to continuously transform one proper, lsc, prox-bounded function into another. Until now, it has been defined for two functions. The purpose of this article is to redefine it so that any finite number of functions may be used. The layout generally follows that of [11], extending those results to the more general case and in some instances giving alternate proofs by using techniques developed after the publication of that paper. We conclude with an example examining the discontinuity of the minimizers of the NC-proximal average.
Cite
@article{arxiv.1909.06222,
title = {The NC-proximal average for multiple functions},
author = {Warren Hare and Chayne Planiden},
journal= {arXiv preprint arXiv:1909.06222},
year = {2019}
}
Comments
14 pages including references, 2 figures