Theorems on the representation of nonlinear mapping families and implicit function theorems

DOI10.1007/BF02675791zbMath0972.47054OpenAlexW2033632986MaRDI QIDQ1581459

Alexey F. Izmailov

Publication date: 2 April 2001

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

Full work available at URL: https://doi.org/10.1007/bf02675791

zbMATH Keywords

representation theoremimplicit function

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 (3)

Stability theorem and extremum conditions for abnormal problems ⋮ Covering of nonlinear maps on a cone in neighborhoods of irregular points ⋮ Stability of possibly nonisolated solutions of constrained equations, with applications to complementarity and equilibrium problems

Cites Work

• Theorems on estimates in the neighborhood of a singular point of a mapping
• The implicit function theorem and abnormal points.
• DUALITY OF CONVEX FUNCTIONS AND EXTREMUM PROBLEMS
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