Higher–Order Necessary Optimality Conditions for a Nonsmooth Extremum Problem

DOI10.1515/JAA.1998.245zbMath0960.49019OpenAlexW2138370056MaRDI QIDQ4236769

Marco Castellani

Publication date: 1 May 2001

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa.1998.245

zbMATH Keywords

higher-order directional derivativeshigher-order necessary optimality conditionsnonsmooth extremum problem

Mathematics Subject Classification ID

Nonlinear programming (90C30) Nonsmooth analysis (49J52) Optimality conditions for problems in abstract spaces (49K27)

Cites Work

• Approximate subdifferential and metric regularity: The finite-dimensional case
• Second-order and related extremality conditions in nonlinear programming
• Higher-order necessary conditions for infinite and semi-infinite optimization
• Constraint qualifications and Lagrange multipliers in nondifferentiable programming problems
• Second-order necessary conditions for optimality in nonsmooth nonlinear programming
• A necessary second-order optimality condition in nonsmooth mathematical programming
• Higher Order Conditions with and without Lagrange Multipliers
• Local second-order approximations and applications in optimization
• Approximations and Metric Regularity in Mathematical Programming in Banach Space
• Second Order Conditions for Constrained Minima

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