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Metric regularity and second-order necessary optimality conditions for minimization problems under inclusion constraints

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What this work says

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

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Generalized Hessian matrix and second-order optimality conditions for problems withC 1,1 data
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On the regularity condition for the extremal problem under locally Lipschitz inclusion constraints
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Regularity and stability for the mathematical programming problem in Banach spaces
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Metric regularity, tangent sets, and second-order optimality conditions
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An envelope-like effect of infinitely many inequality constraints on second-order necessary conditions for minimization problems
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The upper and lower second order directional derivatives of a sup-type function
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Approximate subdifferential and metric regularity: The finite-dimensional case
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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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What points at this work

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

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Metric Regularity and Optimality Conditions in Nonsmooth Optimization
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Tangent Cones and Tangent Sets
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Qualification conditions for multivalued functions in Banach spaces with applications to nonsmooth vector optimization problems
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$$L^\infty $$-Stability of a Parametric Optimal Control Problem Governed by Semilinear Elliptic Equations
inferred← citeshttps://doi.org/10.1007/s00574-019-00157-wopenalex-snapshot
New Second-Order Optimality Conditions for Vector Equilibrium Problems with Constraints in Terms of Contingent Derivatives
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First- and Second-Order Necessary Optimality Conditions for Optimal Control Problems Governed by Stationary Navier–Stokes Equations with Pure State Constraints
inferred← citeshttps://doi.org/10.1007/s10898-010-9580-2openalex-snapshot
Second-order conditions for nonsmooth multiobjective optimization problems with inclusion constraints
inferred← citeshttps://doi.org/10.1007/s10957-014-0628-1openalex-snapshot
Second-Order Necessary Optimality Conditions for a Class of Optimal Control Problems Governed by Partial Differential Equations with Pure State Constraints
inferred← citeshttps://doi.org/10.1007/s10957-023-02185-5openalex-snapshot
New Set-Valued Directional Derivatives: Calculus and Optimality Conditions
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On gap functions for nonsmooth multiobjective optimization problems
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Second-Order Optimality Conditions and Solution Stability to Optimal Control Problems Governed by Stationary Navier-Stokes Equations
inferred← citeshttps://doi.org/10.1016/j.amc.2012.10.107openalex-snapshot
Optimality conditions of strict minimality in optimization problems under inclusion constraints
inferred← citeshttps://doi.org/10.1016/j.na.2012.09.013openalex-snapshot
Second-order optimality conditions with the envelope-like effect for nonsmooth vector optimization in infinite dimensions
inferred← citeshttps://doi.org/10.1016/s0362-546x(98)00031-5openalex-snapshot
Coderivatives of multivalued mappings, locally compact cones and metric regularity
inferred← citeshttps://doi.org/10.1080/02331934.2021.1984470openalex-snapshot
Strict efficiency conditions for nonsmooth optimization with inclusion constraint under Hölder directional metric subregularity
inferred← citeshttps://doi.org/10.1090/s0002-9947-1995-1290719-8openalex-snapshot
Verifiable Conditions for Openness and Regularity of Multivalued Mappings in Banach Spaces
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Second-Order Necessary Optimality Conditions for a Class of Semilinear Elliptic Optimal Control Problems with Mixed Pointwise Constraints
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An Induction Theorem and Nonlinear Regularity Models
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Hoffman's Error Bound, Local Controllability, and Sensitivity Analysis
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Existence of a Continuous Solution of Parametric Nonlinear Equation with Constraints
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