General implicit function theorem for close mappings
type: Item
instance of: scholarly article
title: General implicit function theorem for close mappings
zbMATH Open document ID: 1494.47095
DOI: 10.1134/S0081543821050011
published in: Proceedings of the Steklov Institute of Mathematics
publication date: 2022-01-28T00:00:00Z
review text: The authors prove an implicit function theorem for mappings that are close to an original one in the uniform metric of the space of continuous mappings, and derive a result related to perturbations of linear mappings.
reviewed by: Bangti Jin
Mathematics Subject Classification ID: 47J07
Mathematics Subject Classification ID: 47A55
zbMATH DE Number: 7465809
zbMATH Keywords: implicit function theorem
zbMATH Keywords: metric regularity
author: E. R. Avakov
author: G. G. Magaril-Il'yaev
MaRDI profile type: Publication
cites work: Q5310932
cites work: Q3782303
cites work: Theorems on estimates in the neighborhood of a singular point of a mapping
cites work: Stability theorem and extremum conditions for abnormal problems
cites work: An implicit function theorem for inclusions defined by close mappings
cites work: Q3281164
cites work: Bartle-Graves theorem revisited
cites work: Q4434674
full work available at URL: s0081543821050011
OpenAlex ID: W4205683763
description: scientific article; zbMATH DE number 7465809