Existence and properties of inverse mappings
Aram Vladimirovich Arutyunov, Sergey Evgenyevich Zhukovskiy · Proceedings of the Steklov Institute of Mathematics · 2010
Nonlinear mappings in Banach spaces are considered. The covering property, metric regularity, and the existence of a continuous right inverse are considered for these mappings under various assumptions of smoothness. Several regularity conditions that guarantee the local covering property and the existence of a continuous right inverse are presented.