Second-order conditions for extremum problems with nonregular equality constraints

DOI10.1007/BF02193463zbMath0835.49016OpenAlexW1982633254MaRDI QIDQ1904956

Heinz Schättler, Urszula Łedzewicz-Kowalewska

Publication date: 1 April 1996

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

Full work available at URL: https://doi.org/10.1007/bf02193463

zbMATH Keywords

equality constraintsconesLyusternik theoremnonregular operatorssecond-order feasible and tangent directionssecond-order necessary condition of optimality

Mathematics Subject Classification ID

Optimality conditions for problems in abstract spaces (49K27)

Related Items (15)

A high-order generalization of the Lyusternik theorem ⋮ The triviality condition for kernels of quadratic mappings and its application in optimization methods ⋮ Necessary and Sufficient Optimality Conditions for Non-regular Problems ⋮ Degenerate equality constrained optimization problems and P-regularity theory ⋮ Optimization and flow invariance via first and second order tangent cones ⋮ Higher-Order Optimality Conditions and Higher-Order Tangent Sets ⋮ AN EXTENDED MAXIMUM PRINCIPLE ⋮ High-order tangent cones and their application in optimization ⋮ \(p\)-regular nonlinearity: tangency at singularity in degenerate optimization problems ⋮ On reductibility of degenerate optimization problems to regular operator equations ⋮ Generalized convexity and efficiency for non-regular multiobjective programming problems with inequality-type constraints ⋮ Come Back to Lagrange. Thep-Factor Analysis of Optimality Conditions ⋮ Generalized convexity in non-regular programming problems with inequality-type constraints ⋮ Nonregular mixed-constrained optimization problems ⋮ Extension of the local maximum principle to abnormal optimal control problems

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