An inverse function theorem converse

DOI10.1016/j.jmaa.2020.123913zbMath1456.46067arXiv1812.03561OpenAlexW3003635427MaRDI QIDQ777129

Jimmie D. Lawson

Publication date: 3 July 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.03561

zbMATH Keywords

Banach spacechain ruleLipschitz mapinverse function theorem

Mathematics Subject Classification ID

Continuous and differentiable maps in nonlinear functional analysis (46T20) Derivatives of functions in infinite-dimensional spaces (46G05) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Cites Work

• Unnamed Item
• The implicit function theorem. History, theory, and applications
• Directional upper derivatives and the chain rule formula for locally Lipschitz functions on Banach spaces
• Karcher means and Karcher equations of positive definite operators
• Weighted means and Karcher equations of positive operators

This page was built for publication: An inverse function theorem converse