A note on nonlinear fractional vector maximization

This note studies a class of nonlinear fractional vector maximization problems. A dual to the general nonlinear fractional vector maximization problem is given. Duality results associating properly efficient solutions for the primal and the dual problems, have been proved. The concepts of bounded from above for the primal and bounded from below for the dual are defined. These concepts are used to characterize the non-existence of efficient solution for the primal and the dual problems.