Theorems on estimates in the neighborhood of a singular point of a mapping
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Publication:757814
DOI10.1007/BF01158081zbMath0724.47037MaRDI QIDQ757814
Publication date: 1990
Published in: Mathematical Notes (Search for Journal in Brave)
Equations involving nonlinear operators (general) (47J05) Derivatives of functions in infinite-dimensional spaces (46G05)
Related Items (23)
Stability theorem and extremum conditions for abnormal problems ⋮ Non-degenerate necessary optimality conditions for the optimal control problem with equality-type state constraints ⋮ Stable solvability of nonlinear equations under completely continuous perturbations ⋮ Stability of possibly nonisolated solutions of constrained equations, with applications to complementarity and equilibrium problems ⋮ Properties of the minimum function in the quadratic problem ⋮ Critical solutions of nonlinear equations: stability issues ⋮ Stability of real solutions to nonlinear equations and its applications ⋮ The Dines theorem and some other properties of quadratic mappings ⋮ Stability of singular solutions of nonlinear equations with restricted smoothness assumptions ⋮ Tangent vectors to a zero set at abnormal points. ⋮ Necessary optimality conditions for constrained optimization problems under relaxed constraint qualifications ⋮ Local Controllability for Abnormal Systems ⋮ Existence and properties of inverse mappings ⋮ Existence of local solutions in constrained dynamic systems ⋮ Irregular trajectories in vakonomic mechanical systems ⋮ Inverse function in the neighborhood of an abnormal point of a smooth map ⋮ Investigation of the sets of real solutions of non-linear equations ⋮ Bifurcation theorems via second-order optimality conditions ⋮ Existence of real solutions of nonlinear equations without a priori normality assumptions ⋮ Covering on a Convex Set in the Absence of Robinson's Regularity ⋮ General implicit function theorem for close mappings ⋮ Square-Root Metric Regularity and Related Stability Theorems for Smooth Mappings ⋮ Theorems on the representation of nonlinear mapping families and implicit function theorems
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