Non-differentiable multiobjective fractional programming with Hanson-Mond classes of functions

In this paper the authors consider non-linear non-differentiable multiobjective fractional programming problem in which numerator of each component of the objective function contains a term involving square root of a certain positive semi-definite quadratic form. Necessary and sufficient conditions for a feasible point to be properly efficient are established. A dual is also formulated Weak and Strong duality theorems are given in the framework of Hanson-Mond classes of functions.