Repositorio de producción científica de la Universidad de Sevilla

Pareto optimality conditions and duality for vector quadratic fractional optimization problems

Opened Access Pareto optimality conditions and duality for vector quadratic fractional optimization problems

Citas

buscar en

Estadísticas
Icon
Exportar a
Autor: Alves de Oliveira, Washington
Beato Moreno, Antonio
Moretti, Antonio Carlos
Salles Neto, Luiz Leduino de
Departamento: Universidad de Sevilla. Departamento de Estadística e Investigación Operativa
Fecha: 2014
Publicado en: Journal of Applied Mathematics
Tipo de documento: Artículo
Resumen: One of the most important optimality conditions to aid in solving a vector optimization problem is the first-order necessary optimality condition that generalizes the Karush-Kuhn-Tucker condition. However, to obtain the sufficient optimality conditions, it is necessary to impose additional assumptions on the objective functions and on the constraint set. The present work is concerned with the constrained vector quadratic fractional optimization problem. It shows that sufficient Pareto optimality conditions and the main duality theorems can be established without the assumption of generalized convexity in the objective functions, by considering some assumptions on a linear combination of Hessian matrices instead. The main aspect of this contribution is the development of Pareto optimality conditions based on a similar second-order sufficient condition for problems with convex constraints, without convexity assumptions on the objective functions. These conditions might be useful to dete...
[Ver más]
Cita: Alves de Oliveira, W., Beato Moreno, A., Moretti, A.C. y Salles Neto, L.L.d. (2014). Pareto optimality conditions and duality for vector quadratic fractional optimization problems. Journal of Applied Mathematics
Tamaño: 1.976Mb
Formato: PDF

URI: http://hdl.handle.net/11441/41512

DOI: http://dx.doi.org/10.1155/2014/983643

Mostrar el registro completo del ítem


Esta obra está bajo una Licencia Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internacional

Este registro aparece en las siguientes colecciones