Nonregular multiobjective problems: optimality conditions

A. S. Melo; L. B. dos Santos; M. A. Rojas-Medar

doi:10.1080/02331934.2023.2286322

Nonregular multiobjective problems: optimality conditions

Título traducido de la contribución: Problemas multiobjetivo no regulares: condiciones de optimidad

A. S. Melo
, L. B. dos Santos
, M. A. Rojas-Medar

Departamento de Matemática

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

Resumen

Se presentan las condiciones necesarias y suficientes para problemas multiobjetivo con restricciones de igualdad y desigualdad. Estas condiciones se aplican cuando las restricciones del problema no satisfacen necesariamente ningún supuesto de regularidad y se basan en el concepto de p-regularidad, introducido por Tret'yakov (1983, Condiciones necesarias para la optimalidad de p-ésimo orden. Control Optim.;28–35). Se introduce el concepto de calificación generalizada de restricciones de Mangasarian-Fromovitz. Este nuevo concepto se utiliza para obtener nuestros resultados. © 2023 Informa UK Limited, operando como Taylor & Francis Group.

Título traducido de la contribución	Problemas multiobjetivo no regulares: condiciones de optimidad
Idioma original	Inglés
Páginas (desde-hasta)	1053-1075
Número de páginas	23
Publicación	Optimization
Volumen	74
N.º	4
DOI	https://doi.org/10.1080/02331934.2023.2286322
Estado	Publicada - 2025

Palabras clave

Calificaciones de restricción generalizadas
Problemas no regulares
P-regularidad

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abstract = "Necessary and sufficient conditions for multiobjective problems with both equality constraints and inequality constraints are presented. These conditions are applied when the constraints of the problem do not necessarily satisfy any regularity assumptions and they are based on the concept of p-regularity, introduced by Tret'yakov (1983, Necessary conditions for optimality of pth order. Control Optim.;28–35). We introduce the notion of generalized Mangasarian-Fromovitz constraint qualification. This new concept is used to obtain our results. {\textcopyright} 2023 Informa UK Limited, trading as Taylor \& Francis Group.",

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T2 - optimality conditions

AU - Melo, A. S.

AU - dos Santos, L. B.

AU - Rojas-Medar, M. A.

PY - 2025

Y1 - 2025

N2 - Necessary and sufficient conditions for multiobjective problems with both equality constraints and inequality constraints are presented. These conditions are applied when the constraints of the problem do not necessarily satisfy any regularity assumptions and they are based on the concept of p-regularity, introduced by Tret'yakov (1983, Necessary conditions for optimality of pth order. Control Optim.;28–35). We introduce the notion of generalized Mangasarian-Fromovitz constraint qualification. This new concept is used to obtain our results. © 2023 Informa UK Limited, trading as Taylor & Francis Group.

AB - Necessary and sufficient conditions for multiobjective problems with both equality constraints and inequality constraints are presented. These conditions are applied when the constraints of the problem do not necessarily satisfy any regularity assumptions and they are based on the concept of p-regularity, introduced by Tret'yakov (1983, Necessary conditions for optimality of pth order. Control Optim.;28–35). We introduce the notion of generalized Mangasarian-Fromovitz constraint qualification. This new concept is used to obtain our results. © 2023 Informa UK Limited, trading as Taylor & Francis Group.

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KW - Nonregular problems

KW - P-regularity

KW - Calificaciones de restricción generalizadas

KW - Problemas no regulares

KW - P-regularidad

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JO - Optimization

JF - Optimization

IS - 4

ER -

Nonregular multiobjective problems: optimality conditions

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