On implicit function theorems at abnormal points

DOI10.1134/S0081543810070023zbMath1229.47098OpenAlexW2080797043MaRDI QIDQ643788

Aram V. Arutyunov

Publication date: 2 November 2011

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543810070023

zbMATH Keywords

2-regularityimplicit function theoremabnormal point2-regularity with respect to a coneRobinson's constraint qualification

Mathematics Subject Classification ID

Existence theories for problems in abstract spaces (49J27) Implicit function theorems; global Newton methods on manifolds (58C15) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Related Items (3)

Bartle-Graves theorem revisited ⋮ Existence and continuity of an implicit function in the neighborhood of an abnormal point ⋮ Robinson Stability of Parametric Constraint Systems via Variational Analysis

Cites Work

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• Continuous selections. I
• Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems

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