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On some recent developments in the theory of second order optimality conditions

https://doi.org/10.1007/bfb0083586
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What this work says

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

inferredcites →https://doi.org/10.1007/978-3-642-46477-5_18openalex-snapshot
Second Order Conditions in Nonlinear Nonsmooth Problems of Semi-Infinite Programming
inferredcites →https://doi.org/10.1007/bf01580754openalex-snapshot
An envelope-like effect of infinitely many inequality constraints on second-order necessary conditions for minimization problems
inferredcites →https://doi.org/10.1090/s0002-9947-1979-0531969-6openalex-snapshot
Regular Points of Lipschitz Functions
inferredcites →https://doi.org/10.1090/s0002-9947-1983-0684505-9openalex-snapshot
A General Sufficiency Theorem for Nonsmooth Nonlinear Programming
inferredcites →https://doi.org/10.1137/0317019openalex-snapshot
Necessary and Sufficient Conditions for a Local Minimum. 1: A Reduction Theorem and First Order Conditions
inferredcites →https://doi.org/10.1137/0317021openalex-snapshot
Necessary and Sufficient Conditions for a Local Minimum. 3: Second Order Conditions and Augmented Duality
inferredcites →https://doi.org/10.1137/0324044openalex-snapshot
Higher Order Conditions with and without Lagrange Multipliers
inferredcites →https://doi.org/10.1287/moor.14.3.462openalex-snapshot
Second-Order Optimality Conditions in Nonlinear Programming Obtained by Way of Epi-Derivatives

What points at this work

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

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Second Order Subdifferentials Constructed Using Integral Convolutions Smoothing
inferred← citeshttps://doi.org/10.1007/3-540-28258-0_13openalex-snapshot
On Abstract Control Problems with Non-Smooth Data
inferred← citeshttps://doi.org/10.1007/978-1-4614-8615-2_14openalex-snapshot
Conciliating Generalized Derivatives
inferred← citeshttps://doi.org/10.1007/978-1-4757-2868-2_4openalex-snapshot
First and Second Order Optimality Conditions and Perturbation Analysis of Semi-Infinite Programming Problems
inferred← citeshttps://doi.org/10.1007/978-1-4757-6099-6_14openalex-snapshot
Prox-Regularity and Subjets
inferred← citeshttps://doi.org/10.1007/978-3-642-51682-5_5openalex-snapshot
Second-Order Generalized Derivatives: Comparisons of Two Types of Epi-Derivatives
inferred← citeshttps://doi.org/10.1007/978-3-642-57014-8_25openalex-snapshot
Recent Advances on Second-Order Optimality Conditions
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Towards Second-Order Methods for Structured Nonsmooth Optimization
inferred← citeshttps://doi.org/10.1007/bf00425960openalex-snapshot
Second-order subdifferentials of C 1,1 functions and optimality conditions
inferred← citeshttps://doi.org/10.1007/bf01580087openalex-snapshot
Second-order global optimality conditions for convex composite optimization
inferred← citeshttps://doi.org/10.1007/bf01582222openalex-snapshot
Optimality conditions in mathematical programming and composite optimization
inferred← citeshttps://doi.org/10.1007/bf02592147openalex-snapshot
Generalized hessian forC 1,1 functions in infinite dimensional normed spaces
inferred← citeshttps://doi.org/10.1007/bfb0120067openalex-snapshot
Composite optimization: Second order conditions, value functions and sensityvity
inferred← citeshttps://doi.org/10.1007/s101070050029openalex-snapshot
Legendre-type optimality conditions for a variational problem with inequality state constraints
inferred← citeshttps://doi.org/10.1007/s10474-009-8164-4openalex-snapshot
A separation theorem for nonlinear inverse images of convex sets
inferred← citeshttps://doi.org/10.1007/s10957-014-0664-xopenalex-snapshot
First- and Second-Order Necessary Conditions Via Exact Penalty Functions
inferred← citeshttps://doi.org/10.1007/s11117-017-0505-xopenalex-snapshot
Second-order sequence-based necessary optimality conditions in constrained nonsmooth vector optimization and applications
inferred← citeshttps://doi.org/10.1007/s11117-018-0602-5openalex-snapshot
Sequence-based necessary second-order optimality conditions for semilinear elliptic optimal control problems with nonsmooth data
inferred← citeshttps://doi.org/10.1016/0022-247x(91)90312-nopenalex-snapshot
Variational analysis of a composite function: A formula for the lower second order epi-derivative
inferred← citeshttps://doi.org/10.1016/j.na.2004.10.005openalex-snapshot
Optimum problems with nonsmooth equality constraints
inferred← citeshttps://doi.org/10.1023/a:1023248501932openalex-snapshot
Rank-1 Representers
inferred← citeshttps://doi.org/10.1023/b:svan.0000023389.17834.95openalex-snapshot
Critical and Critical Tangent Cones in Optimization Problems
inferred← citeshttps://doi.org/10.1080/01630563.2014.895763openalex-snapshot
Optimality Conditions in Semidefinite Programming
inferred← citeshttps://doi.org/10.1090/s0002-9947-1994-1270667-9openalex-snapshot
First- and Second-Order Necessary Conditions for Control Problems with Constraints
inferred← citeshttps://doi.org/10.1109/cdc.1994.411569openalex-snapshot
Necessary conditions for optimal control problems with different constraints
inferred← citeshttps://doi.org/10.1137/040612713openalex-snapshot
Second‐Order Optimality Conditions for Scalar and Vector Optimization Problems in Banach Spaces
inferred← citeshttps://doi.org/10.1137/050641387openalex-snapshot
Second-Order Necessary Conditions for Nonlinear Optimization Problems with Abstract Constraints: The Degenerate Case
inferred← citeshttps://doi.org/10.1137/0804001openalex-snapshot
On Sensitivity Analysis of Nonlinear Programs in Banach Spaces: The Approach via Composite Unconstrained Optimization
inferred← citeshttps://doi.org/10.1137/s0363012992229653openalex-snapshot
Nonsmooth Optimum Problems with Constraints
inferred← citeshttps://doi.org/10.1137/s036301299224031xopenalex-snapshot
Second-Order Optimality Conditions in Sets of ${\text{L}}^\infty $ Functions with Range in a Polyhedron
inferred← citeshttps://doi.org/10.1137/s0363012998333724openalex-snapshot
Optimal Control Problems with Partially Polyhedric Constraints
inferred← citeshttps://doi.org/10.1137/s1052623496306760openalex-snapshot
Second Order Optimality Conditions Based on Parabolic Second Order Tangent Sets
inferred← citeshttps://doi.org/10.1137/s1052623499350943openalex-snapshot
Optimum Problems with Measurable Set-Valued Constraints
inferred← citeshttps://doi.org/10.5109/13460openalex-snapshot
FIRST- AND SECOND-ORDER DIRECTIONAL DERIVATIVES OF A MAX-TYPE FUNCTION INDUCED FROM AN INEQUALITY STATE CONSTRAINT
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