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Metric regularity, tangent sets, and second-order optimality conditions
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Stability and regular points of inequality systems
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Second order optimality conditions for theL 1-minimization problem
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Regularity and stability for the mathematical programming problem in Banach spaces
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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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Approximate subdifferential and metric regularity: The finite-dimensional case
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Necessary and sufficient optimality conditions for a class of nonsmooth minimization 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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On regularity conditions in mathematical programming
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Lipschitzian properties of multifunctions
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On the local surjection property
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Proto-Differentiability of Set-Valued Mappings and its Applications in Optimization
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Duality for the Sum of Convex Functions in General Banach Spaces
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LYUSTERNIK'S THEOREM AND THE THEORY OF EXTREMA
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Regular Points of Lipschitz Functions
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First- and Second-Order Epi-Differentiability in Nonlinear Programming
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Comparing New Notions of Tangent Cones
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Stability in Mathematical Programming with Nondifferentiable Data
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Stability Theory for Systems of Inequalities. Part I: Linear Systems
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Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
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Regularity and Stability for Convex Multivalued Functions
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Lipschitz Behavior of Solutions to Convex Minimization Problems
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Multifunctions with convex closed graph
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Constraint Qualifications
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Second‐order necessary optimality conditions for a discrete optimal control problem with nonlinear state equations
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A Dual Approach to Constrained Interpolationfrom a Convex Subset of Hilbert Space
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Subtraction Theorems and Approximate Openness for Multifunctions: Topological and Infinitesimal Viewpoints
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Inverse and Implicit Function Theorems for Nonsmooth Maps in Banach Spaces
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Differentiable Selections and Castaing Representations of Multifunctions
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Tangent Sets in the Space of Measures: With Applications to Variational Analysis
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Equality-constrained nonlinear programming: KKT necessary optimality conditions; Inequality-constrained nonlinear optimization; Kuhn–Tucker optimality conditions; Lagrangian duality: Basics; Rosen's method, global convergence, and Powell's conjecture; Saddle point theory and optimality conditions;…
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Second Order Constraint Qualifications
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Lipschitzian Stability of Newton’s Method for Variational Inclusions
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First Order Constraint Qualifications
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Second Order Constraint Qualifications
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Metric Regularity and Optimality Conditions in Nonsmooth Optimization
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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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Graded Subdifferentials, Ioffe Subdifferentials
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Regularity and Stability in Nonlinear Semi-Infinite Optimization
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Variational Analysis of Poisson Processes
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Strong Convexity and Directional Derivatives of Marginal Values in Two-Stage Stochastic Programming
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Calculus for parabolic second-order derivatives
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Qualification conditions for multivalued functions in Banach spaces with applications to nonsmooth vector optimization problems
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Metric regularity and second-order necessary optimality conditions for minimization problems under inclusion constraints
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An overview of second order tangent sets and their application to vector optimization
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Feasible Perturbations of Control Systems with Pure State Constraints and Applications to Second-Order Optimality Conditions
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Second-Order Optimality Conditions for Nonsmooth Constrained Optimization with Applications to Bilevel Programming
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Tangent Sets of Order One and Two to the Positive Cones of Some Functional Spaces
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Tangent sets in some functional spaces
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Second-order efficient optimality conditions for set-valued vector optimization in terms of asymptotic contingent epiderivatives
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Metric regularity and subdifferential calculus
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Second-order necessary optimality conditions for semilinear elliptic optimal control problems
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Optimality Conditions in Semidefinite Programming
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First order approximations to nonsmooth mappings with application to metric regularity
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On proto-differentiability and strict proto-differentiability of multifunctions of feasible points in perturbed optimization problems
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Isolated zeros of lipschitzian metrically regular -Functions
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Stability of inclusions: characterizations via suitable Lipschitz functions and algorithms
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Semi-infinite programming, duality, discretization and optimality conditions†
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Approximate optimality conditions for minimax programming problems
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A Mountain Pass Lemma and its implications regarding the uniqueness of constrained minimizers
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Optimality conditions for nonsmooth vector problems in normed spaces
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Augmented Lagrangians quadratic growth and second-order sufficient optimality conditions
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Strict efficiency conditions for nonsmooth optimization with inclusion constraint under Hölder directional metric subregularity
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Nonlinear metric regularity on fixed sets
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On optimality conditions for nonsmooth vector problems in normed spaces via generalized Hadamard directional derivatives
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Directionally generalized differentiation and applications to set-valued optimization, multiobjective optimal control problems
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A chain rule for parabolic second-order epiderivatives
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Second order approximations and dual necessary optimality conditions
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Second order optimality conditions in multiobjective programming
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Metric regularity: characterizations, nonsmooth variations and successive approximation ∗
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First and second order optimality conditions in vector optimization
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Second order optimality conditions
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Quadratic growth conditions in optimal control problems
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The radius of metric regularity
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Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions
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First- and Second-Order Necessary Conditions for Control Problems with Constraints
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Nondegenerate Necessary Conditions of Optimality for Problems Without Normality Assumptions
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On second-order optimality conditions in optimal control
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Lipschitzian Stability in Nonlinear Control and Optimization
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Second‐Order Optimality Conditions for Scalar and Vector Optimization Problems in Banach Spaces
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Second-Order Necessary Conditions for Nonlinear Optimization Problems with Abstract Constraints: The Degenerate Case
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Stability and Sensitivity of Optimization Problems with First Order Stochastic Dominance Constraints
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Error Bounds in Metric Spaces and Application to the Perturbation Stability of Metric Regularity
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Classical Optimality Conditions under Weaker Assumptions
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Variational Approach to Second-Order Optimality Conditions for Control Problems with Pure State Constraints
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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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Second-Order Necessary Conditions in Pontryagin Form for Optimal Control Problems
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An Induction Theorem and Nonlinear Regularity Models
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Second-Order Optimality Conditions for Boundary Control Problems with Mixed Pointwise Constraints
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Higher-Order Karush--Kuhn--Tucker Conditions in Nonsmooth Optimization
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Higher-Order Optimality Conditions and Higher-Order Tangent Sets
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Second-Order KKT Optimality Conditions for MultiObjective Optimal Control Problems
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Existence of Lagrange Multipliers under Gâteaux Differentiable Data with Applications to Stochastic Optimal Control Problems
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Fréchet Second-Order Subdifferentials of Lagrangian Functions and Optimality Conditions
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Optimization Problems with Perturbations: A Guided Tour
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Second-Order Optimality Conditions in Sets of ${\text{L}}^\infty $ Functions with Range in a Polyhedron
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Perturbed Optimization in Banach Spaces I: A General Theory Based on a Weak Directional Constraint Qualification
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Perturbed Optimization in Banach Spaces II: A Theory Based on a Strong Directional Constraint Qualification
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Second-Order Conditions for Optimization Problems with Constraints
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Optimal Control Problems with Partially Polyhedric Constraints
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Conjugate Points for Variational Problems with Equality and Inequality State Constraints
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Optimal Control Problems with Set-Valued Control and State Constraints
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On First- and Second-Order Conditions for Error Bounds
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Constrained Minima and Lipschitzian Penalties in Metric Spaces
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A Global Algorithm for Nonlinear Semidefinite Programming
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Abadie's Constraint Qualification, Metric Regularity, and Error Bounds for Differentiable Convex Inequalities
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Second Order Optimality Conditions Based on Parabolic Second Order Tangent Sets
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Optimum Problems with Certain Lower Semicontinuous Set-Valued Constraints
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Differential Stability of Two-Stage Stochastic Programs
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