Existence and properties of inverse mappings

DOI10.1134/S0081543810040036zbMath1302.46010MaRDI QIDQ483145

Aram V. Arutyunov, Sergey Zhukovskiy

Publication date: 16 December 2014

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

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items

Stable solvability of nonlinear equations under completely continuous perturbations ⋮ Controllability for problems with mixed constraints ⋮ On the continuity of inverse mappings for Lipschitz perturbations of covering mappings ⋮ Coincidence points of parameterized generalized equations with applications to optimal value functions ⋮ Properties of surjective real quadratic maps ⋮ On implicit function theorem for locally Lipschitz equations ⋮ Implicit function theorems for continuous mappings and their applications ⋮ Stability of real solutions to nonlinear equations and its applications ⋮ The Dines theorem and some other properties of quadratic mappings ⋮ MINIMA OF FUNCTIONS ON (q1; q2)-QUASIMETRIC SPACES ⋮ Covering mappings and well-posedness of nonlinear Volterra equations ⋮ Inverse function in the neighborhood of an abnormal point of a smooth map ⋮ Hadamard’s theorem for mappings with relaxed smoothness conditions ⋮ Continuous dependence of coincidence points on a parameter ⋮ Global and semilocal theorems on implicit and inverse functions in Banach spaces ⋮ Application of methods of ordinary differential equations to global inverse function theorems ⋮ Implicit function theorem in a neighborhood of an abnormal point ⋮ Square-Root Metric Regularity and Related Stability Theorems for Smooth Mappings

Cites Work

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• Implicit function theorem as a realization of the Lagrange principle. Abnormal points
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