Contingent cone to a set defined by equality and inequality constraints at a Fréchet differentiable point

DOI10.1007/BF02193096zbMath0803.49019OpenAlexW2063496066MaRDI QIDQ1331120

R. A. Poliquin, Simon Di

Publication date: 5 January 1995

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

Full work available at URL: https://doi.org/10.1007/bf02193096

zbMATH Keywords

normal conesJacobian matrixClarke tangent conetangent conescontingent coneproximal normal cone

Mathematics Subject Classification ID

Nonsmooth analysis (49J52)

Related Items (8)

First- and second-order optimality conditions for quadratically constrained quadratic programming problems ⋮ Fritz John necessary optimality conditions of the alternative-type ⋮ Optimality Conditions For Max-Type Nonsmooth Minimization Problems ⋮ A chain rule for first- and second-order epiderivatives and hypoderivatives ⋮ Characterizations of strict local minima for some nonlinear programming problems ⋮ Tangent cone and contingent cone to the intersection of two closed sets ⋮ Optimality Conditions in Directionally Differentiable Pareto Problems with a Set Constraint via Tangent Cones ⋮ A New Constraint Qualification and Sharp Optimality Conditions for Nonsmooth Mathematical Programming Problems in Terms of Quasidifferentials

Cites Work

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• Stability and regular points of inequality systems
• Optimization and nonsmooth analysis
• Extensions of subgradient calculus with applications to optimization
• Convex Subcones of the Contingent Cone in Nonsmooth Calculus and Optimization
• Isotone tangent cones and nonsmooth optimization
• An Elementary Proof of the Existence of Solutions to Second Order Nonlinear Boundary Value Problems

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