Image space analysis to Lagrange-type duality for constrained vector optimization problems with applications
type: Item
instance of: scholarly article
title: Image space analysis to Lagrange-type duality for constrained vector optimization problems with applications
zbMATH Open document ID: 1401.49045
published in: Journal of Optimization Theory and Applications
publication date: 2018-09-04T00:00:00Z
Mathematics Subject Classification ID: 49N15
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 90C46
zbMATH DE Number: 6931977
zbMATH Keywords: image space analysis
zbMATH Keywords: vector optimization
zbMATH Keywords: Lagrange-type duality
zbMATH Keywords: exact penalization
zbMATH Keywords: image regularity condition
author: Shengkun Zhu
MaRDI profile type: Publication
full work available at URL: s10957-016-1027-6
OpenAlex ID: W2533394792
cites work: Convex Analysis
cites work: Theory of multiobjective optimization
cites work: Q4461359
cites work: Multiplier and gradient methods
cites work: Decreasing Functions with Applications to Penalization
cites work: Lagrange-type functions in constrained non-convex optimization.
cites work: Nonlinear Lagrangian for Multiobjective Optimization and Applications to Duality and Exact Penalization
cites work: Vector optimization. Set-valued and variational analysis.
cites work: Regularity conditions for constrained extremum problems via image space
cites work: Constrained optimization and image space analysis. Vol. 1: Separation of sets and optimality conditions
cites work: Theorems of the alternative and optimality conditions
cites work: Theorems of the alternative for multifunctions with applications to optimization: General results
cites work: Nonlinear separation approach to constrained extremum problems
cites work: Separation approach for augmented lagrangians in Constrained nonconvex optimization
cites work: On saddle points in semidefinite optimization via separation scheme
cites work: On the theory of Lagrangian duality
cites work: Separation of sets and Wolfe duality
cites work: Some applications of the image space analysis to the duality theory for constrained extremum problems
cites work: Unified duality theory for constrained extremum problems. I: Image space analysis
cites work: Unified duality theory for constrained extremum problems. II: Special duality schemes
cites work: On maximum and variational principles via image space analysis
cites work: On the image of a constrained extremum problem and some applications to the existence of a minimum
cites work: Image space approach to penalty methods
cites work: Nonlinear separation in the image space with applications to penalty methods
cites work: On regularity for constrained extremum problems. I: Sufficient optimality conditions
cites work: Image of a parametric optimization problem and continuity of the perturbation function
cites work: Q4762223
cites work: Optimality Conditions and Image Space Analysis for Vector Optimization Problems
cites work: Image space analysis for vector variational inequalities with matrix inequality constraints and applications
cites work: A separation approach to vector quasi-equilibrium problems: saddle point and gap function
cites work: On the image space analysis for vector quasi-equilibrium problems with a variable ordering relation
cites work: Nonlinear augmented Lagrangian for nonconvex multiobjective optimization
cites work: Nonconvex separation theorems and some applications in vector optimization
DOI: 10.1007/S10957-016-1027-6
description: scientific article; zbMATH DE number 6931977