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

https://doi.org/10.1007/bf02193096

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What this work says

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

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Nonlinear Functional Analysis

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Theory of Extremal Problems

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Differential Analysis

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Isotone tangent cones and nonsmooth optimization

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Convex Subcones of the Contingent Cone in Nonsmooth Calculus and Optimization

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Conic model methods with a trust region approach and calmness of optimization problems

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Metric and Topological Tools

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Elements of Differential Calculus

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Elements of Convex Analysis

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Elementary and Viscosity Subdifferentials

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Circa-Subdifferentials, Clarke Subdifferentials

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Limiting Subdifferentials

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Graded Subdifferentials, Ioffe Subdifferentials

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Sufficient Optimality Conditions and Duality in Nonsmooth Multiobjective Optimization Problems under Generalized Convexity

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Tangent Cones and Tangent Sets

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Limiting Normal Cone to Quadric Surfaces, Local Uniqueness and Error Bound in M-stationarity

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Fritz John Necessary Optimality Conditions of the Alternative-Type

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First- and Second-Order Optimality Conditions for Quadratically Constrained Quadratic Programming Problems

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A chain rule for first- and second-order epiderivatives and hypoderivatives

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Tangent cone and contingent cone to the intersection of two closed sets

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Characterizations of strict local minima for some nonlinear programming problems

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Optimality Conditions For Max-Type Nonsmooth Minimization Problems

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Optimality Conditions in Directionally Differentiable Pareto Problems with a Set Constraint via Tangent Cones

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A New Constraint Qualification and Sharp Optimality Conditions for Nonsmooth Mathematical Programming Problems in Terms of Quasidifferentials

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Minimum Principle-Type Necessary Optimality Conditions in Scalar and Vector Optimization. An Account

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