Higher-Order Karush--Kuhn--Tucker Conditions in Nonsmooth Optimization (Q4609473)

scientific article; zbMATH DE number 6855331

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English	Higher-Order Karush--Kuhn--Tucker Conditions in Nonsmooth Optimization	scientific article; zbMATH DE number 6855331

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instance of

scholarly article

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title

Higher-Order Karush--Kuhn--Tucker Conditions in Nonsmooth Optimization (English)

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SIAM Journal on Optimization

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publication date

3 April 2018

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zbMATH Keywords

higher-order optimality condition

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complementarity slackness

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Hölder metric subregularity

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weak solution

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firm solution

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contingent-type derivative

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Studniarski derivative

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constraint qualification

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MaRDI profile type

MaRDI publication profile

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cites work

Directional Regularity and Metric Regularity

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Set-valued analysis

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Stability in Mathematical Programming with Nondifferentiable Data

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A unified theory of first and second order conditions for extremum problems in topological vector spaces

0 references

Q4503250

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Metric regularity, tangent sets, and second-order optimality conditions

0 references

A Generalized Second-Order Derivative in Nonsmooth Optimization

0 references

First-order optimality conditions in set-valued optimization

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Implicit Functions and Solution Mappings

0 references

Variable Ordering Structures in Vector Optimization

0 references

Strict Efficiency in Set-Valued Optimization

0 references

Hölder metric regularity of set-valued maps

0 references

Second‐Order Optimality Conditions for Scalar and Vector Optimization Problems in Banach Spaces

0 references

On Directional Metric Subregularity and Second-Order Optimality Conditions for a Class of Nonsmooth Mathematical Programs

0 references

Complete Characterizations of Tilt Stability in Nonlinear Programming under Weakest Qualification Conditions

0 references

The Lagrange Multiplier Rule in Set-Valued Optimization

0 references

On second-order Fritz John type optimality conditions in nonsmooth multiobjective programming

0 references

Higher order necessary conditions in abstract mathematical programming

0 references

Necessary and Sufficient Conditions for a Local Minimum. 3: Second Order Conditions and Augmented Duality

0 references

On regularity concepts in variational analysis

0 references

Nonlinear regularity models

0 references

Q4715202

0 references

Strict efficiency in vector optimization

0 references

Optimality conditions in differentiable vector optimization via second-order tangent sets

0 references

Higher-order optimality conditions for strict local minima

0 references

Scalarization and optimality conditions for strict minimizers in multiobjective optimization via contingent epiderivatives

0 references

An envelope-like effect of infinitely many inequality constraints on second-order necessary conditions for minimization problems

0 references

Set-valued Optimization

0 references

An Induction Theorem and Nonlinear Regularity Models

0 references

Variational sets of multivalued mappings and a unified study of optimality conditions

0 references

Second-order optimality conditions with the envelope-like effect in nonsmooth multiobjective mathematical programming. II: Optimality conditions

0 references

First and second-order optimality conditions without differentiability in multivalued vector optimization

0 references

Second-order optimality conditions with the envelope-like effect for set-valued optimization

0 references

Second-order conditions for open-cone minimizers and firm minimizers in set-valued optimization subject to mixed constraints

0 references

High-Order Approximations and Generalized Necessary Conditions for Optimality

0 references

Hölder Metric Subregularity with Applications to Proximal Point Method

0 references

Higher-order optimality conditions for set-valued optimization

0 references

Second-order optimality conditions for strict efficiency of constrained set-valued optimization

0 references

Higher-order necessary and sufficient conditions for strict local pareto minima in terms of Studniarski's derivatives

0 references

Maximum principle in the problem of time optimal response with nonsmooth constraints

0 references

Multiobjective optimization problems with equilibrium constraints

0 references

Full Lipschitzian and Hölderian Stability in Optimization with Applications to Mathematical Programming and Optimal Control

0 references

Full Stability in Finite-Dimensional Optimization

0 references

Second-Order Conditions for Optimization Problems with Constraints

0 references

Tilt Stability of a Local Minimum

0 references

Higher-order conditions for strict local Pareto minima in terms of generalized lower and upper directional derivatives

0 references

Regularity and Stability for Convex Multivalued Functions

0 references

Variational Analysis

0 references

Higher-order necessary optimality conditions in terms of Neustadt derivatives.

0 references

Necessary and Sufficient Conditions for Isolated Local Minima of Nonsmooth Functions

0 references

Second-order conditions for nonsmooth multiobjective optimization problems with inclusion constraints

0 references

The Lipschitzianity of convex vector and set-valued functions

0 references

Q4080172

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Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization

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Characterizations of strict local minima and necessary conditions for weak sharp minima

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Hölder Stable Minimizers, Tilt Stability, and Hölder metric Regularity of Subdifferentials

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Optimality conditions of strict minimality in optimization problems under inclusion constraints

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full work available at URL

https://doi.org/10.1137/16m1079920

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Identifiers

zbMATH Open document ID

1437.90145

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DOI

10.1137/16M1079920

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4609473