Mixed type duality in non-differentiable multi-objective fractional programming under generalised (Φ, ρ)-univex function

Abstract

In this paper, a new class of generalised (Φ, ρ)-univex function is introduced. Three approaches for both primal and mixed type dual of a non-differentiable multi-objective fractional programming problems are presented. Also, the necessary and sufficient conditions of efficient solution for fractional programming are established. Weak and strong duality theorems are established under generalised (Φ, ρ)-univexity assumption.