Abstract: This paper studies a class of non-smooth multi-objective fractional optimization problems, using the tools in variational analysis and the generalized differential, and establishes necessary conditions and sufficient conditions under some new convexity. These results, which are relatively new in the study of non-smooth multi-objective fractional optimization problems, are characterized by limiting subdifferential. And the study of limiting subdifferential is a pretty hot subject in recent years. In addition, the weak duality and the strong duality results have been obtained in Mond-Weir type duality.

Key words: non-smooth, limiting subdifferential, generalized convexity, duality