General Implicit Function Theorem for Close Mappings
Evgeny Rachievich Avakov, Georgii Georgievich Magaril-Il'yaev · Proceedings of the Steklov Institute of Mathematics · 2021
Abstract We prove a sufficiently general implicit function theorem for mappings that are close to an original one in the uniform metric of the space of continuous mappings. As a corollary, we derive an important (for applications) result related to perturbations of linear mappings.