Geometry of optimality conditions and constraint qualifications

DOI10.1007/BF01584534zbMath0288.90068OpenAlexW2062988270MaRDI QIDQ4777073

F. J. Gould, Jon W. Tolle

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1007/bf01584534

Mathematics Subject Classification ID

Nonlinear programming (90C30)

Related Items (22)

Derivative-free methods for mixed-integer nonsmooth constrained optimization ⋮ Characterizing FJ and KKT Conditions in Nonconvex Mathematical Programming with Applications ⋮ Duality for nonlinear multiple-criteria optimization problems ⋮ Necessary and sufficient conditions for regularity of constraints in convex programming ⋮ Various definitions of the derivative in mathematical programming ⋮ Regularizing the abstract convex program ⋮ Modified regularity conditions for nonlinear programming problems over mixed cone domains ⋮ A strengthened test for optimality ⋮ Method of reduction in convex programming ⋮ Unnamed Item ⋮ Optimierungsprobleme mit nichtlinearen Gleichungsrestriktionen ⋮ The relation between pseudonormality and quasiregularity in constrained optimization ⋮ On constraint qualifications in nonsmooth optimization. ⋮ Characterization of optimality in convex programming without a constraint qualification ⋮ On functions whose stationary points are global minima ⋮ Geometry of optimality conditions and constraint qualifications: The convex case ⋮ Optimality condition: Constraint regularization ⋮ Characterization of generalized FJ and KKT conditions in nonsmooth nonconvex optimization ⋮ Approximation operators in optimization theory ⋮ A new constraint qualification condition ⋮ A constraint qualification for convex programming ⋮ Pseudonormality and a Lagrange multiplier theory for constrained optimization

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• Asymptotic Kuhn–Tucker Conditions for Mathematical Programming Problems in a Banach Space
• A Necessary and Sufficient Qualification for Constrained Optimization
• On constraint qualifications in nonlinear programming

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