Resumen de Duality in fractional programming involving locally arcwise connected and related functions

Rafael Caballero Fernández , I.M. Stancu-Minasian, Emilio Cerdá Tena , M. Mar Fenoy Muñoz

• 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]