## HIGHER-ORDER METRIC SUBREGULARITY AND ITS APPLICATIONS

This paper is devoted to the study of metric subregularity and strong subregularity of any positive order $q$ for set-valued mappings in finite and infinite dimensions. While these notions have been studied and applied earlier for $q=1$ and—to a much lesser extent—for $q\in(0,1)$, no results are available for the case $q>1$. We derive characterizations of … Read more