We show a general method to translate Tauberian theorems for summability methods in $\mathbb R$ into Tauberian theorems for the corresponding forms of statistical convergence in metric spaces. The main tools (distance functions and the Hausdorff metric) come from set-valued analysis.
"A reduction principle for obtaining Tauberian theorems for statistical convergence in metric spaces." Bull. Belg. Math. Soc. Simon Stevin 12 (2) 295 - 299, June 2005. https://doi.org/10.36045/bbms/1117805090