Implicit function theorems and lagrange multipliers

DOI10.1080/01630568008816071zbMath0488.49022OpenAlexW2041940247MaRDI QIDQ3949594

Bruce D.Craven

Publication date: 1980

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568008816071

zbMATH Keywords

implicit function theoremslocal solutionscone constraint problem

Mathematics Subject Classification ID

Nonlinear programming (90C30) Numerical methods based on nonlinear programming (49M37) Continuity and differentiation questions (26B05) Implicit function theorems, Jacobians, transformations with several variables (26B10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

Open mappings theorems and linearization stability ⋮ \(d-\rho -(\eta ,\theta )\)-invexity in multiobjective optimization ⋮ Generalized implicit function theorems when the derivative has no bounded inverse

Cites Work

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• First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems