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An overview of second order tangent sets and their application to vector optimization

https://doi.org/10.1007/bf03322575
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What this work says

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

inferredcites →https://doi.org/10.1006/jmaa.1995.1247openalex-snapshot
A Comparison of Second-Order Epiderivatives: Calculus and Optimality Conditions
inferredcites →https://doi.org/10.1006/jmaa.2001.7588openalex-snapshot
Strict Efficiency in Vector Optimization
inferredcites →https://doi.org/10.1007/0-387-34221-4openalex-snapshot
Optimization with multivalued mappings : theory, applications and algorithms
inferredcites →https://doi.org/10.1007/0-387-34221-4_13openalex-snapshot
First and second order optimality conditions in set optimization
inferredcites →https://doi.org/10.1007/978-1-4419-9863-7_101044openalex-snapshot
Nonlinear Optimization
inferredcites →https://doi.org/10.1007/978-1-4612-1394-9openalex-snapshot
Perturbation Analysis of Optimization Problems
inferredcites →https://doi.org/10.1007/978-1-4615-5563-6openalex-snapshot
Nonlinear Multiobjective Optimization
inferredcites →https://doi.org/10.1007/978-1-4757-6019-4openalex-snapshot
Nonsmooth Optimization and Related Topics
inferredcites →https://doi.org/10.1007/978-3-540-24828-6openalex-snapshot
Vector Optimization: Theory, Applications, and Extensions
inferredcites →https://doi.org/10.1007/978-3-642-02431-3openalex-snapshot
Variational Analysis
inferredcites →https://doi.org/10.1007/978-3-642-48294-6openalex-snapshot
Foundations of Optimization
inferredcites →https://doi.org/10.1007/978-3-642-57014-8_25openalex-snapshot
Recent Advances on Second-Order Optimality Conditions
inferredcites →https://doi.org/10.1007/978-3-662-12603-5_16openalex-snapshot
The General Concept of Cone Approximations in Nondifferentiable Optimization
inferredcites →https://doi.org/10.1007/bf00933151openalex-snapshot
Higher-order necessary conditions in abstract mathematical programming
inferredcites →https://doi.org/10.1007/bf00938539openalex-snapshot
Second-order necessary conditions of the Kuhn-Tucker type under new constraint qualifications
inferredcites →https://doi.org/10.1007/bf01027635openalex-snapshot
Calculus for parabolic second-order derivatives
inferredcites →https://doi.org/10.1007/bf01445166openalex-snapshot
Metric regularity, tangent sets, and second-order optimality conditions
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/10.1007/bf01582222openalex-snapshot
Optimality conditions in mathematical programming and composite optimization
inferredcites →https://doi.org/10.1007/bfb0120982openalex-snapshot
A unified theory of first and second order conditions for extremum problems in topological vector spaces
inferredcites →https://doi.org/10.1007/s00186-005-0013-9openalex-snapshot
On sufficient second order optimality conditions in multiobjective optimization
inferredcites →https://doi.org/10.1007/s001860300283openalex-snapshot
Second order necessary conditions in set constrained differentiable vector optimization
inferredcites →https://doi.org/10.1007/s00245-003-0782-6openalex-snapshot
Optimality Conditions in Differentiable Vector Optimization via Second-Order Tangent Sets
inferredcites →https://doi.org/10.1007/s10957-006-9158-9openalex-snapshot
Characterization of the Cone of Attainable Directions
inferredcites →https://doi.org/10.1007/s10957-007-9242-9openalex-snapshot
New Results on Second-Order Optimality Conditions in Vector Optimization Problems
inferredcites →https://doi.org/10.1007/s10957-009-9525-4openalex-snapshot
New Second-Order Directional Derivative and Optimality Conditions in Scalar and Vector Optimization
inferredcites →https://doi.org/10.1016/0022-1236(78)90030-7openalex-snapshot
Calcul sous-differentiel et optimisation
inferredcites →https://doi.org/10.1016/0167-6377(96)00006-5openalex-snapshot
A necessary second-order optimality condition in nonsmooth mathematical programming
inferredcites →https://doi.org/10.1023/a:1021834210437openalex-snapshot
Second-Order Optimality Conditions in Multiobjective Optimization Problems
inferredcites →https://doi.org/10.1023/a:1022114319999openalex-snapshot
Optimality Conditions for C 1,1 Constrained Multiobjective Problems
inferredcites →https://doi.org/10.1023/b:jota.0000042594.46637.b4openalex-snapshot
Second-Order Conditions for Efficiency in Nonsmooth Multiobjective Optimization Problems
inferredcites →https://doi.org/10.1051/ro:2000122openalex-snapshot
Second order optimality conditions for differentiable multiobjective problems
inferredcites →https://doi.org/10.1080/02331938808843348openalex-snapshot
Abstract cone approximations and generalized differentiability in nonsmooth optimization
inferredcites →https://doi.org/10.1080/02331938908843424openalex-snapshot
A survey of conical approximations used in the optimization
inferredcites →https://doi.org/10.1080/02331939208843804openalex-snapshot
On the notion of tangent cone in mathematical programming
inferredcites →https://doi.org/10.1080/02331939408843917openalex-snapshot
A chain rule for parabolic second-order epiderivatives
inferredcites →https://doi.org/10.1080/02331939608844224openalex-snapshot
Local second-order approximations and applications in optimization
inferredcites →https://doi.org/10.1080/02522667.1989.10698953openalex-snapshot
Directional Derivative Calculus and Optimality Conditions in Nonsmooth Mathematical Programming
inferredcites →https://doi.org/10.1080/09720510.2002.10701060openalex-snapshot
Characterizations, comparisons, algebraic and topological properties of tangent cones
inferredcites →https://doi.org/10.1080/09720510.2002.10701061openalex-snapshot
First and second order optimality conditions in vector optimization
inferredcites →https://doi.org/10.1090/s0002-9947-1975-0367131-6openalex-snapshot
Generalized Gradients and Applications
inferredcites →https://doi.org/10.1137/1.9781611971309openalex-snapshot
Optimization and Nonsmooth Analysis
inferredcites →https://doi.org/10.1137/s0363012996311095openalex-snapshot
Second-Order Conditions for Optimization Problems with Constraints
inferredcites →https://doi.org/10.1137/s1052623496306760openalex-snapshot
Second Order Optimality Conditions Based on Parabolic Second Order Tangent Sets
inferredcites →https://doi.org/10.1515/9781400841059openalex-snapshot
Nonlinear Optimization
inferredcites →https://doi.org/10.2307/254267openalex-snapshot
Nonlinear Multiobjective Optimization
inferredcites →https://doi.org/10.4153/cjm-1980-020-7openalex-snapshot
Generalized Directional Derivatives and Subgradients of Nonconvex Functions
inferredcites →https://doi.org/10.4153/cjm-1988-029-6openalex-snapshot
The Quantificational Tangent Cones

What points at this work

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

inferred← citeshttps://doi.org/10.1007/978-3-031-30324-1_6openalex-snapshot
Constrained Optimization Problems with Mixed Constraints
inferred← citeshttps://doi.org/10.1007/978-3-642-54265-7_4openalex-snapshot
Tangent Cones and Tangent Sets
inferred← citeshttps://doi.org/10.1007/s00245-016-9383-zopenalex-snapshot
On Necessary Optimality Conditions for Nonsmooth Vector Optimization Problems with Mixed Constraints in Infinite Dimensions
inferred← citeshttps://doi.org/10.1007/s00245-026-10466-4openalex-snapshot
Second-Order Optimality Conditions for Degenerate Optimization Problems and Higher-Order Tangents Sets
inferred← citeshttps://doi.org/10.1007/s10957-019-01603-xopenalex-snapshot
New Constraint Qualifications with Second-Order Properties in Nonlinear Optimization
inferred← citeshttps://doi.org/10.1007/s10957-025-02853-8openalex-snapshot
First and Second Order Optimality Conditions for Nonsmooth Multiobjective Problems with Equilibrium Constraints
inferred← citeshttps://doi.org/10.1016/j.amc.2014.11.061openalex-snapshot
First and second-order optimality conditions for nonsmooth vector optimization using set-valued directional derivatives
inferred← citeshttps://doi.org/10.1080/02331934.2012.674948openalex-snapshot
Second-order optimality conditions in set-valued optimization via asymptotic derivatives
inferred← citeshttps://doi.org/10.1080/02331934.2023.2169046openalex-snapshot
Second-order optimality conditions for locally Lipschitz vector optimization problems
inferred← citeshttps://doi.org/10.1137/17m1140479openalex-snapshot
Exact Formula for the Second-Order Tangent Set of the Second-Order Cone Complementarity Set
inferred← citeshttps://doi.org/10.20852/ntmsci.2017.162openalex-snapshot
Existence theorems for second-order radial epiderivatives
inferred← citeshttps://doi.org/10.20852/ntmsci.2018.259openalex-snapshot
Generalized composed radial epiderivatives
inferred← citeshttps://doi.org/10.23952/cot.2022.30openalex-snapshot
High order tangent vectors to sets with applications to constrained optimization problems
inferred← citeshttps://doi.org/10.5539/jmr.v11n5p16openalex-snapshot
Notes on Constraint Qualifications for Second-Order Optimality Conditions
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