Uniqueness of KKT multipliers in multiobjective optimization.

DOI10.1016/j.aml.2003.10.011zbMath1087.90067OpenAlexW2077723264MaRDI QIDQ1767223

Marco Castellani, Giancarlo Bigi

Publication date: 7 March 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2003.10.011

zbMATH Keywords

Multiobjective optimizationSecond-order optimality conditionsMangasarian-Fromovitz type conditions

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46)

Related Items (4)

A note on second-order Karush–Kuhn–Tucker necessary optimality conditions for smooth vector optimization problems ⋮ Normality and uniqueness of Lagrange multipliers ⋮ Structural Properties of Pareto Fronts: The Occurrence of Dents in Classical and Parametric Multiobjective Optimization Problems ⋮ Strong second-order Karush–Kuhn–Tucker optimality conditions for vector optimization

Cites Work

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• On uniqueness of Kuhn-Tucker multipliers in nonlinear programming
• Second-order necessary and sufficient conditions in multiobjective programming^∗
• A necessary and sufficient regularity condition to have bounded multipliers in nonconvex programming
• On Uniqueness of Lagrange Multipliers in Optimization Problems Subject to Cone Constraints

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