The NC-proximal average for multiple functions

Authors

Chayne Planiden, University of British ColumbiaFollow
Warren L. Hare, University of British ColumbiaFollow

RIS ID

121664

Publication Details

Planiden, C. & Hare, W. L. (2014). The NC-proximal average for multiple functions. Optimization Letters, 8 (3), 849-860.

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 [Hare 2009], 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.