Necessary optimality conditions for problems with equality and inequality constraints: Abnormal case

DOI10.1007/s10957-008-9456-5zbMath1190.90263OpenAlexW2063058486WikidataQ57550649 ScholiaQ57550649MaRDI QIDQ1016407

Aram V. Arutyunov, D. Yu. Karamzin, Fernando Lobo Pereira

Publication date: 5 May 2009

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-008-9456-5

zbMATH Keywords

abnormal pointssecond-order necessary optimality conditions

Mathematics Subject Classification ID

Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46)

Related Items (5)

Directional Control of Bifurcation into Targeted Trajectory ⋮ Second-order optimality conditions for inequality constrained problems with locally Lipschitz data ⋮ Second-Order Necessary Optimality Conditions for Abnormal Problems and Their Applications ⋮ On constrained impulsive control problems ⋮ Nonregular mixed-constrained optimization problems

Cites Work

• Necessary conditions for an extremum in 2-regular problems
• Necessary extremum conditions for smooth anormal problems with equality- and inequality-type constraints
• Necessary optimality conditions for constrained optimization problems under relaxed constraint qualifications
• Optimality conditions in abnormal extremal problems
• Optimality conditions in extremal problems with nonregular inequality constraints
• Necessary conditions for an extremum in a mathematical programming problem
• Optimality Conditions for Irregular Inequality-Constrained Problems
• Second-Order Necessary Optimality Conditions for Problems Without A Priori Normality Assumptions
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