Hanson-Antczak-Type (α, β,γ, ϵ, η,ω,ρ,θ)-V-Sonvexities in semiinfinite multiobjective fractional programs for second-order parametric duality models

Abstract

In this paper, we first introduce a significant generalization to the Hanson-Antczaktype generalized V-invexity [14], as the generalized Hanson-Antczak-Type (α, β,γ, ϵ, η,ω,ρ,θ)-V-sonvexities, and then present several second-order parametric duality results using new duality models under various Hanson-Antczak-Type generalized (α, β,γ, ϵ, η,ω,ρ,θ)-V-sonvexity constraints for a semiinfinite multiobjective fractional programming problem. The results thus obtained, applying Hanson-Antczak-Type generalized (α, β,γ, ϵ, η,ω,ρ,θ)-V-sonvexities, are new and encompass most of the duality models and duality results in the literature.