RT Report T1 Duality in fractional programming involving locally arcwise connected and related functions A1 Stancu-Minasian, I.M. A1 Caballero Roldán, Rafael A1 Cerdá Tena, Emilio Jaime A1 Muñoz Martos, María del Mar AB A nonlinear fractional programming problem is considered, where the functions involved are diferentiable with respect to an arc. Necessary andsuficient optimality conditions are obtained in terms of the right diferentials 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 PB Instituto Complutense de Análisis Económico. Universidad Complutense de Madrid YR 2002 FD 2002-07 LK https://hdl.handle.net/20.500.14352/64495 UL https://hdl.handle.net/20.500.14352/64495 LA eng NO Mathematics Subject Classification 2000 :Primary : 90 C 32; Secondary : 26 B 25 DS Docta Complutense RD 25 feb 2026