Second Order (Φ, Ψ, ρ, η, θ) - Invexity Frameworks and ε-Efficiency Conditions for Multiobjective Fractional Programming

A generalized framework for a class of second (Φ, Ψ, ρ, η, θ) - invexities is developed, and then some parametric sufficient efficiency conditions for multiobjective fractional programming problems are established. The obtained results generalize and unify a wider range of investigations in the literature on applications to other results on multiobjective fractional programming.