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Sensitivity Analysis of Optimal Value Functions of Convex Parametric Programs with Possibly Empty Solution Sets

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What this work says

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

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Nondifferentiable Optimization
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From Convex Optimization to Nonconvex Optimization. Necessary and Sufficient Conditions for Global Optimality
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Stability for a Class of Nonlinear Optimization Problems and Applications
inferredcites →https://doi.org/10.1007/978-3-642-82450-0_12openalex-snapshot
Nondifferentiable Optimization
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Limiting behavior of the approximate second-order subdifferential of a convex function
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First-order and second-order ?-directional derivatives of a marginal function in convex programming with linear inequality constraints
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Some remarks on the construction of higher order algorithms in convex optimization
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Complément de Schur et sous-différentiel du second ordre d'une fonction convexe
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ε-Optimal solutions in nondifferentiable convex programming and some related questions
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Measurable dependence of convex sets and functions on parameters
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An application of Ekeland's theorem to minimax problems
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Convex Integral Functionals and Duality
inferredcites →https://doi.org/10.1016/s0168-2024(09)x7002-5openalex-snapshot
Theory of Extremal Problems
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Epsilon-Solutions and Epsilon-Supports
inferredcites →https://doi.org/10.1090/s0002-9939-1965-0178103-8openalex-snapshot
On the subdifferentiability of convex functions
inferredcites →https://doi.org/10.1112/plms/s3-58.2.351openalex-snapshot
The Second-Order Subdifferential and the Dupin Indicatrices of a Non-Differentiable Convex Function
inferredcites →https://doi.org/10.1137/1.9781611970524openalex-snapshot
Conjugate Duality and Optimization
inferredcites →https://doi.org/10.1287/moor.9.4.576openalex-snapshot
A Minimax Theorem
inferredcites →https://doi.org/10.1515/9781400873173openalex-snapshot
Convex Analysis
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Integrals which are convex functionals
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A note on𝜀-subgradients and maximal monotonicity
inferredcites →https://doi.org/10.24033/asens.651openalex-snapshot
Sur les équations du calcul des variations

What points at this work

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

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Approximate Euler-Lagrange inclusion, approximate transversality condition, and sensitivity analysis of convex parametric problems of calculus of variations
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Calculus rules for global approximate minima and applications to approximate subdifferential calculus
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Differential Stability of a Class of Convex Optimal Control Problems
inferred← citeshttps://doi.org/10.1007/s00245-021-09755-xopenalex-snapshot
Sensitivity Analysis of Multi-objective Optimal Control Problems
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The Clarke Coderivative of the Frontier Map in a Multi-objective Optimal Control Problem
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Mordukhovich subgradients of the value function to a parametric discrete optimal control problem
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Further Results on Subgradients of the Value Function to a Parametric Optimal Control Problem
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Subgradients of the Value Function in a Parametric Convex Optimal Control Problem
inferred← citeshttps://doi.org/10.1007/s10957-018-1431-1openalex-snapshot
Differential Stability of Convex Optimization Problems with Possibly Empty Solution Sets
inferred← citeshttps://doi.org/10.1007/s10957-022-02130-yopenalex-snapshot
S-Derivative of the Extremum Multifunction to a Multi-objective Parametric Discrete Optimal Control Problem
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Differential Stability Properties of Convex Optimization and Optimal Control Problems
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Differential stability of discrete optimal control problems with mixed contraints
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Approximate optimality conditions and sensitivity analysis in nearly convex optimization
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Subgradients of the Value Function to a Parametric Optimal Control Problem
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Differential stability properties in convex scalar and vector optimization
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Differential Stability of Convex Discrete Optimal Control Problems
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Differential Stability in a Multi-Objective Optimal Control Problems with a Possibly Empty Solution Set
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Subdifferential calculus without qualification conditions, using approximate subdifferentials: A survey
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Sensitivity analysis in parametric multiobjective discrete-time control via Fréchet subdifferential calculus of the frontier map
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Subgradients of value functions in parametric dynamic programming
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Subgradients of the Value Function via Multiplier Sets of Parametric Convex Discrete Optimal Control Problems
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Differential stability of convex discrete optimal control problems with possibly empty solution sets
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Epsilon-Maximum Principle of Pontryagin Type and Perturbation Analysis of Convex Optimal Control Problems
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MORDUKHOVICH SUBGRADIENTS OF THE VALUE FUNCTION IN A PARAMETRIC OPTIMAL CONTROL PROBLEM
inferred← citeshttps://doi.org/10.1287/moor.21.3.555openalex-snapshot
Subgradients of Optimal-Value Functions in Dynamic Programming: The Case of Convex Systems Without Optimal Paths
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Generalized Clarke epiderivatives of the extremum multifunction to a multi-objective parametric discrete optimal control problem
inferred← citeshttps://doi.org/10.48550/arxiv.1902.02363openalex-snapshot
Stability of the optimal values under small perturbations of the constraint set
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The Conjugates, Compositions and Marginals of Convex Functions
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