A note on nonlinear fractional vector maximization. (English) Zbl 0676.90086

Kaul, R. N.; Lyall, Vinod

Opsearch 26, No. 2, 108-121 (1989).

A fractional vector optimization problem with side conditions is considered, where all functions are assumed to be differentiable. Using pseudo-convexity conditions and a Lagrange-dual problem weak and strong duality theorems are proved. Then nonexistence of efficient points is linked with solvability properties of inequality systems.

Reviewer: A.Göpfert

MSC:

90C32	Fractional programming
90C31	Sensitivity, stability, parametric optimization
49N15	Duality theory (optimization)
90C30	Nonlinear programming

Keywords:

pseudo-convexity; efficient points; inequality systems