On the Caratheodory-John multiplier rule

DOI10.1016/0022-247X(82)90130-5zbMath0486.49018OpenAlexW2062734415MaRDI QIDQ1164846

Bruce Pourciau

Publication date: 1982

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(82)90130-5

zbMATH Keywords

multiplier ruleKarush-Kuhn-Tucker theoreminterior mapping theoremCaratheodory-John multiplier rule

Mathematics Subject Classification ID

Nonlinear programming (90C30) Numerical methods based on nonlinear programming (49M37) Existence theories for free problems in two or more independent variables (49J10) Implicit function theorems, Jacobians, transformations with several variables (26B10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Optimality conditions for free problems in two or more independent variables (49K10)

Related Items (4)

Homeomorphisms and generalized derivatives ⋮ A local version of the closed graph Lemma of Kelley ⋮ Multiplier rules and the separation of convex sets ⋮ Univalence and degree for Lipschitz continuous maps

Cites Work

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• Univalence and degree for Lipschitz continuous maps
• On the inverse function theorem
• Foundations of optimization
• Analysis and optimization of Lipschitz continuous mappings
• A minimal set-valued strong derivative for vector-valued Lipschitz functions
• Interior mapping theorem with set-valued derivatives
• Calcul sous-différentiel et optimisation
• The Fritz John necessary optimality conditions in the presence of equality and inequality constraints
• Spectral localization of operators in Banach spaces
• Modern Multiplier Rules
• The Lagrange Multiplier Rule
• Generalized Gradients and Applications
• Controllability and Necessary Conditions in Unilateral Problems without Differentiability Assumptions
• On optimality conditions in nondifferentiable programming
• Optimization of lipschitz continuous functions
• A New Approach to Lagrange Multipliers
• GENERAL NECESSARY CONDITIONS FOR OPTIMIZATION PROBLEMS
• Implicit Functions and Optimization Problems without Continuous Differentiability of the Data

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