Existence and boundedness of second-order Karush-Kuhn-Tucker multipliers for set-valued optimization with variable ordering structures
type: Item
instance of: scholarly article
title: Existence and boundedness of second-order Karush-Kuhn-Tucker multipliers for set-valued optimization with variable ordering structures
zbMATH Open document ID: 1401.90225
author: Quoc Khanh Phan
author: Minh Tung Nguyen
published in: Taiwanese Journal of Mathematics
publication date: 2018-10-25T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.twjm/1528509853
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 90C46
Mathematics Subject Classification ID: 49J52
Mathematics Subject Classification ID: 49J53
zbMATH DE Number: 6965407
zbMATH Keywords: second-order KKT multiplier
zbMATH Keywords: variable ordering structure
zbMATH Keywords: nondominated point
zbMATH Keywords: contingent derivative of index \(\gamma\)
zbMATH Keywords: constraint qualification
MaRDI profile type: Publication
OpenAlex ID: W2807126483
cites work: Degenerate Nonlinear Programming with a Quadratic Growth Condition
cites work: Set-valued analysis
cites work: Extremal systems for sets and multifunctions in multiobjective optimization with variable ordering structures
cites work: Necessary nondomination conditions in set and vector optimization with variable ordering structures
cites work: Domination structures and multicriteria problems in N-person games
cites work: Characterizations of variable domination structures via nonlinear scalarization
cites work: Metric regularity, tangent sets, and second-order optimality conditions
cites work: Implicit Functions and Solution Mappings
cites work: Optimality conditions for weak and firm efficiency in set-valued optimization
cites work: Bounded sets of Lagrange multipliers for vector optimization problems in infinite dimension
cites work: Calculus of tangent sets and derivatives of set-valued maps under metric subregularity conditions
cites work: On set-valued optimization problems with variable ordering structure
cites work: Bounded sets of KKT multipliers in vector optimization
cites work: Optimal elements in vector optimization with a variable ordering structure
cites work: Variable Ordering Structures in Vector Optimization
cites work: Optimality conditions for vector optimization problems with variable ordering structures
cites work: A necessary and sufficient regularity condition to have bounded multipliers in nonconvex programming
cites work: Differential Stability in Nonlinear Programming
cites work: On second-order Fritz John type optimality conditions in nonsmooth multiobjective programming
cites work: Nonlinear regularity models
cites work: An envelope-like effect of infinitely many inequality constraints on second-order necessary conditions for minimization problems
cites work: Set-valued Optimization
cites work: An Induction Theorem and Nonlinear Regularity Models
cites work: Second-order optimality conditions with the envelope-like effect for set-valued optimization
cites work: Second-order conditions for open-cone minimizers and firm minimizers in set-valued optimization subject to mixed constraints
cites work: Second-order differentiability of generalized perturbation maps
cites work: Higher-order optimality conditions for set-valued optimization
cites work: Existence and boundedness of the Kuhn-Tucker multipliers in nonsmooth multiobjective optimization
cites work: The Fritz John necessary optimality conditions in the presence of equality and inequality constraints
cites work: Boundedness of certain sets of Lagrange multipliers in vector optimization
cites work: Differentiability of Relations and Differential Stability of Perturbed Optimization Problems
cites work: Second-Order Conditions for Optimization Problems with Constraints
cites work: Regularity and Stability for Convex Multivalued Functions
cites work: Variational Analysis
cites work: Q4080172
cites work: A chain rule for first- and second-order epiderivatives and hypoderivatives
cites work: Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
cites work: Multiple-criteria decision making. Concepts, techniques, and extensions. With the assistance of Yoon-Ro Lee and Antonie Stam
cites work: The Fermat rule for multifunctions on Banach spaces
cites work: Regularity and stability for the mathematical programming problem in Banach spaces
Wikidata QID: Q129701946
DOI: 10.11650/TJM/180505
Recommended article: Second-order Karush-Kuhn-Tucker optimality conditions for set-valued optimization
Recommended article: Second-order Karush-Kuhn-Tucker optimality conditions for set-valued optimization subject to mixed constraints
Recommended article: Q4589181
Recommended article: Higher-order Karush-Kuhn-Tucker optimality conditions for set-valued optimization with nonsolid ordering cones
Recommended article: Q5194144
Recommended article: Q5148369
Recommended article: Second-order strong Karush/Kuhn-Tucker conditions for proper efficiencies in multiobjective optimization
Recommended article: Second-order characterizations for set-valued equilibrium problems with variable ordering structures
Recommended article: Second-order optimality conditions in set-valued optimization problems
Recommended article: Q4508758
description: scientific article; zbMATH DE number 6965407