Regularity conditions in vector optimization

DOI10.1023/A:1021890328184zbMath0947.90103OpenAlexW3954319MaRDI QIDQ1306659

Giancarlo Bigi, Massimo Pappalardo

Publication date: 5 October 1999

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021890328184

zbMATH Keywords

regularity conditionsimage spacePareto minimumgeneralized Mangasarian-Fromovitz conditions

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29)

Related Items

An approximate strong KKT condition for multiobjective optimization ⋮ Strong Kuhn-Tucker conditions and constraint qualifications in locally Lipschitz multiobjective optimization problems ⋮ Nonsmooth multiobjective programming: strong Kuhn-Tucker conditions ⋮ Dini and Hadamard directional derivatives in multiobjective optimization: an overview of some results ⋮ On weak and strong Kuhn-Tucker conditions for smooth multiobjective optimization ⋮ On Constraint Qualifications for Multiobjective Optimization Problems with Vanishing Constraints ⋮ A practical optimality condition without constraint qualifications for nonlinear programming ⋮ On second-order optimality conditions for vector optimization ⋮ Infinite-horizon multiobjective optimal control problems for bounded processes ⋮ Conic separation for vector optimization problems ⋮ Proper efficiency and proper Karush-Kuhn-Tucker conditions for smooth multiobjective optimization problems ⋮ On the Fritz John saddle point problem for differentiable multiobjective optimization ⋮ Unnamed Item ⋮ Multiobjective programming under generalized type I invexity ⋮ Constraint qualifications for Karush-Kuhn-Tucker conditions in multiobjective optimization ⋮ Necessary and sufficient conditions for (weakly) efficient of non-differentiable multi-objective semi-infinite programming problems ⋮ Infinite horizon multiobjective optimal control problems in the discrete time case ⋮ Regularity conditions in differentiable vector optimization revisited

Cites Work

• Unnamed Item
• Unnamed Item
• Theory of multiobjective optimization
• Optimality conditions in multiobjective differentiable programming
• Regularity conditions for the linear separation of sets
• Constrained qualifications in multiobjective optimization problems: Differentiable case
• Separation of sets, Lagrange multipliers, and totally regular extremum problems
• Theorems of the alternative and optimality conditions
• The Fritz John necessary optimality conditions in the presence of equality and inequality constraints
• Nonsmooth multiobjective programming