The sufficient efficiency conditions in semiinfinite multiobjective fractional programming under higher order exponential type hybrid type invexities

First, a class of higher order exponential type hybrid (α, β, γ, η, ρ, h(·, ·), κ(·, ·), Ω(·, ·, ·), ϖ(·, ·, ·), θ)-invexities is introduced, second, some parametrically sufficient efficiency conditions based on the higher order exponential type hybrid invexities are established, and finally some parametrically sufficient efficiency results under the higher order exponential type hybrid (α, β, γ, η, ρ, h(·, ·), κ(·, ·), Ω(·, ·, ·), ϖ(·, ·, ·), θ)-invexities are investigated to the context of solving semiinfinite multiobjective fractional programming problems. The notions of the higher order exponential type hybrid (α, β, γ, η, ρ, h(·, ·), κ(·, ·), Ω(·, ·, ·), ϖ(·, ·, ·), θ)-invexities encompass most of the generalized invexities in the literature. To the best of our knowledge, the results on semiinfinite multiobjective fractional programming problems established in this communication are new and application-oriented toward multitime multiobjectve problems as well as multiobjective control problems.