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Orthogonality in multiobjective optimization |
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| Affiliation: | Departamento de Economía de la Empresa Universidad Carlos III. c/ Madrid 126 28903 Getafe, Madrid, Spain;Département de Mathématiques Université du Québec à Montréal, Case postale 8888 succ. Centre-Ville, Montréal, Québec, Canada H3C 3P8;Departamento de Matemáticas Fundamentales, Facultad de Ciencias, UNED c/ Senda del Rey 9, 28040 Madrid, Spain |
| Abstract: | Properties of nonlinear multiobjective problems implied by the Karush-Kuhn-Tucker necessary conditions are investigated. It is shown that trajectories of Lagrange multipliers corresponding to the components of the vector cost function are orthogonal to the corresponding trajectories of vector deviations in the balance space (to the balance set for Pareto solutions). |
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