Mixed type duality for nondifferentiable multiobjective fractional programming under generalized (d, ρ, η, θ)-type 1 univex function

摘要

In this paper, we introduced a new generalized class of (d, ρ, η, θ)-type 1 univex function with an example. We introduced the mixed duality problem (MFXD) of the nondifferentiable multiobjective fractional programming problem (MFP) where the objective and constraint functions involved are directionally differentiable. Also we established the duality results under generalized class of (d, ρ, η, θ)-type 1 univex function.