Characterizations of Uniform Regularity of Set-Valued Mappings
Nguyen Duy Cuong, Alexander Y. Kruger · arXiv (Cornell University) · 2020
We establish primal and dual quantitative sufficient and necessary conditions of uniform regularity of set-valued mappings in metric and normed (in particular, Banach/Asplund) spaces as well as complete quantitative characterizations of the properties in the convex setting. As a consequence, we obtain primal and dual characterizations of the conventional metric regularity and subregularity properties as well as stability properties of solution mappings to generalized equations.