2 papers
math.GN2017
Normality in terms of distances and contractions
E. Colebunders, M. Sioen, W. Van Den Haute
The main purpose of this paper is to explore normality in terms of distances between points and sets. We prove some important consequences on realvalued contractions, i.e. function…
math.PR2016
An application of approach theory to the relative Hausdorff measure of non-compactness for the Wasserstein metric
Ben Berckmoes, Tim Hellemans, Mark Sioen +1
After shortly reviewing the fundamentals of approach theory as introduced by R. Lowen in 1989, we show that this theory is intimately related with the well-known Wasserstein metric…