An implicit function theorem for inclusions defined by close mappings

DOI10.1134/S0001434618030185MaRDI QIDQ722166

Evgeniy Avakov, Gregorij G. Magaril-Il'yaev

Publication date: 23 July 2018

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Newton's methodimplicit functionBrouwer's fixed point theorem

Mathematics Subject Classification ID

Implicit function theorems; global Newton methods on manifolds (58C15) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Related Items (6)

Stable solvability of nonlinear equations under completely continuous perturbations ⋮ Bartle-Graves theorem revisited ⋮ Existence of real solutions of nonlinear equations without a priori normality assumptions ⋮ Implicit function. Controllability and perturbation of optimal control problems ⋮ On existence of solutions of parametrized generalized equations ⋮ General implicit function theorem for close mappings

Cites Work

• An implicit-function theorem for inclusions
• Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
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