Two duality problems for a class of multi-objective fractional programming

Xiaoyan Gao 

College of Science, Xi’an University of Science and Technology, Xi’an 710054, China

In this article, we investigate the duality results for a class of non-differentiable multi-objective fractional programming problems. The parametric dual models and Wolfe dual models are formulated for this fractional programming. Weak, strong and strict converse duality theorems are established and proved based on the generalized invexity assumptions. Some previous duality results for differentiable multi-objective programming problems turn out to be special cases for the results described in the paper.