Duality in fractional programming involving locally arcwise connected and related functions
- Stancu-Minasian, I.M.
- Caballero Fernández, Rafael
- Cerdá Tena, Emilio
- Fenoy Muñoz, M. Mar
ISSN: 2341-2356
Año de publicación: 2002
Número: 5
Tipo: Documento de Trabajo
Otras publicaciones en: Documentos de Trabajo (ICAE)
Resumen
A nonlinear fractional programming problem is considered, where the functions involved are di®erentiable with respect to an arc.Necessary and su±cient optimality conditions are obtained in terms of the right di®erentials with respect to an arc of the functions. A dual is formulated and duality results are proved using concepts of locally arcwise connected, locally Q-connected and locally P-connected functions .Our results generalize the results obtained by Lyall, Suneja and Aggarwal [9], Kaul and Lyall [6] and Kaul et.al .[7]