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Second-order conditions for extremum problems with nonregular equality constraints

https://doi.org/10.1007/bf02193463

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Outgoing claims: the papers this work cites, builds on, or argues with.

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On Abnormal Optimal Control Problems with Mixed Equality and Inequality Constraints

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Lectures on Mathematical Theory of Extremum Problems

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Higher-order necessary conditions in abstract mathematical programming

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Extension of the local maximum principle to abnormal optimal control problems

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Euler-Lagrange equation in the case of nonregular equality constraints

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Necessary extremum conditions for smooth anormal problems with equality- and inequality-type constraints

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First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems

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Second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems

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A unified theory of first and second order conditions for extremum problems in topological vector spaces

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Necessary and sufficient conditions for optimality of p-th order

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Extremum conditions for smooth problems with equality-type constraints

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On some specification of the Dubovitskii-Milyutin method

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Theory of Extremal Problems

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CONDITIONS OF HIGH ORDER FOR A LOCAL MINIMUM IN PROBLEMS WITH CONSTRAINTS

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LYUSTERNIK'S THEOREM AND THE THEORY OF EXTREMA

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On Second Order Necessary Conditions of Optimality

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Necessary and Sufficient Conditions for a Local Minimum. 3: Second Order Conditions and Augmented Duality

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Second Order Controllability and Optimization with Ordinary Controls

What points at this work

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Kuhn-Tucker optimality conditions HIGH-ORDER NECESSARY CONDITIONS FOR OPTIMALITY FOR ABNORMAL POINTS

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High-Order Necessary Conditions for Optimality for Abnormal Points

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Degenerate Equality Constrained Optimization Problems and P-Regularity Theory

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Tangent Cones and Tangent Sets

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Recent Advances on Second-Order Optimality Conditions

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p-regular nonlinearity: tangency at singularity in degenerate optimization problems

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Higher-order optimality conditions for nonregular multiobjective problem

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Generalized convexity in non-regular programming problems with inequality-type constraints

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Generalized convexity and efficiency for non-regular multiobjective programming problems with inequality-type constraints

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AN EXTENDED MAXIMUM PRINCIPLE

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High-order tangent cones and their application in optimization

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A high-order generalization of the Lyusternik theorem

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Optimality Conditions for Degenerate Extremum Problems with Equality Constraints

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Second-Order Conditions for Optimization Problems with Constraints

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A sufficient optimality condition for nonregular problems via a nonlinear Lagrangian

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