a Central Economics and Mathematics Institute, RAS, Nakhimovskii prospekt 47, Moscow 117418, Russia b School of Information Technology and Mathematical Sciences, University of Ballarat, POB 663, Ballarat, Vic 3350, Australia
Abstract:
The paper is devoted to a revision of the metric regularity property for mappings between metric or Banach spaces. Some new concepts are introduced: uniform metric regularity and metric multi-regularity for mappings into product spaces, when each component is perturbed independently. Regularity criteria are established based on a nonlocal version of Lyusternik-Graves theorem due to Milyutin. The criteria are applied to systems of generalized equations producing some “error bound” type estimates.