The (G, β,Φ, h( ; ), ρ,θ)-Univexities of Higher-Orders with Applications to Parametric Duality Models in Minimax Fractional

Based on the recently introduced (see (Verma, 2012)) major higher order generalizations (G, β,Φ, h(·; ·), ρ,θ)- univexities, several second-order parametric duality models for a semiinfinite minimax fractional programming problem are developed with appropriate duality results under various generalized second-order (G, β,Φ, h(·; ·), ρ,θ)- univexity assumptions. The obtained results encompass a large variety of investigations on generalized univexities and their extensions in the literature.