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Approximate subdifferential and metric regularity: The finite-dimensional case

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What this work says

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

inferredcites →https://doi.org/10.1007/bf00938588openalex-snapshot
Stability and regular points of inequality systems
inferredcites →https://doi.org/10.1007/bf01442544openalex-snapshot
Refinements of necessary optimality conditions in nondifferentiable programming I
inferredcites →https://doi.org/10.1007/bfb0120985openalex-snapshot
Refinements of necessary optimality conditions in nondifferentiable programming II
inferredcites →https://doi.org/10.1007/bfb0120988openalex-snapshot
On regularity conditions in mathematical programming
inferredcites →https://doi.org/10.1016/0021-8928(76)90136-2openalex-snapshot
Maximum principle in the problem of time optimal response with nonsmooth constraints
inferredcites →https://doi.org/10.1016/0362-546x(85)90024-0openalex-snapshot
Lipschitzian properties of multifunctions
inferredcites →https://doi.org/10.1016/0362-546x(87)90073-3openalex-snapshot
On the local surjection property
inferredcites →https://doi.org/10.1070/rm1980v035n06abeh001973openalex-snapshot
LYUSTERNIK'S THEOREM AND THE THEORY OF EXTREMA
inferredcites →https://doi.org/10.1090/s0002-9947-1979-0531969-6openalex-snapshot
Regular Points of Lipschitz Functions
inferredcites →https://doi.org/10.1090/s0002-9947-1981-0613784-7openalex-snapshot
Nonsmooth analysis: differential calculus of nondifferentiable mappings
inferredcites →https://doi.org/10.1090/s0002-9947-1984-0719677-1openalex-snapshot
Approximate Subdifferentials and Applications. I: The Finite Dimensional Theory
inferredcites →https://doi.org/10.1090/s0273-0979-1979-14595-6openalex-snapshot
Nonconvex minimization problems
inferredcites →https://doi.org/10.1090/tranopenalex-snapshot
Transactions of the American Mathematical Society
inferredcites →https://doi.org/10.1137/0322017openalex-snapshot
Stability in Mathematical Programming with Nondifferentiable Data
inferredcites →https://doi.org/10.1137/0329056openalex-snapshot
On Subdifferentials of Optimal Value Functions
inferredcites →https://doi.org/10.1137/0712056openalex-snapshot
Stability Theory for Systems of Inequalities. Part I: Linear Systems
inferredcites →https://doi.org/10.1137/0713043openalex-snapshot
Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
inferredcites →https://doi.org/10.1287/moor.1.2.130openalex-snapshot
Regularity and Stability for Convex Multivalued Functions
inferredcites →https://doi.org/10.1287/moor.9.1.87openalex-snapshot
Lipschitz Behavior of Solutions to Convex Minimization Problems

What points at this work

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

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Topological Properties of the Approximate Subdifferential
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Inverse and Implicit Function Theorems for Nonsmooth Maps in Banach Spaces
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Metric Regularity and Optimality Conditions in Nonsmooth Optimization
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Metric and Topological Tools
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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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Regularity and Stability in Nonlinear Semi-Infinite Optimization
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Metric regularity and subdifferential calculus in Banach spaces
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On regularity and stability in semi-infinite optimization
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Metric regularity of the feasible set mapping in semi-infinite optimization
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Topological characterization of the approximate subdifferential in the finite-dimensional case
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Metric regularity, tangent sets, and second-order optimality conditions
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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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Error Bounds for Eigenvalue and Semidefinite Matrix Inequality Systems
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Metric regularity and quantitative stability in stochastic programs with probabilistic constraints
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Enhanced metric regularity and Lipschitzian properties of variational systems
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Metric Regularity of the Sum of Multifunctions and Applications
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An implicit-function theorem for C0, 1-equations and parametric C1, 1-optimization
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Metric regularity for strongly compactly Lipschitzian mappings
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Stable local minimizers in semi-infinite optimization: regularity and second-order conditions
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Equi-surjective systems of linear operators and applications
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A chain rule for first- and second-order epiderivatives and hypoderivatives
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Metric regularity of composition set-valued mappings: Metric setting and coderivative conditions
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Metric projection and compatibly parameterized families of prox-regular sets in Hilbert space
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Locally compactly Lipschitzian mappings in infinite dimensional programming
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On metric regularity of multifunctions
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On metric regularity in metric spaces
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Metric Estimates for the Calculus of Multimappings
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Characterization of Stability for Cone Increasing Constraint Mappings
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Constrained nonsmooth problems of the calculus of variations
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Constrained nonsmooth problems of the calculus of variations
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Metric regularity and subdifferential calculus
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Regularity of implicit solution mapping to parametric generalized equation
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Regularity and strong sufficient optimality conditions in differentiable optimization problems
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A generalized karush-kuhn-tucki optimality condition without constraint qualification using tl approximate subdifferential
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First order approximations to nonsmooth mappings with application to metric regularity
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A chain rule for parabolic second-order epiderivatives
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Epiderivatives of the marginal function in nonsmooth parametric optimization
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Compactly epi-lipschitzian sets and a-subdifferentials in wt-spaces
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Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions
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Verifiable Conditions for Openness and Regularity of Multivalued Mappings in Banach Spaces
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On Subdifferentials of Optimal Value Functions
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Corrigendum: Lagrange Multipliers in Stochastic Programming
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Hoffman's Error Bound, Local Controllability, and Sensitivity Analysis
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On the Stability of the Optimal Value and the Optimal Set in Optimization Problems
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