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Abstract: First several new classes of higher order (Φ, η, ω, π, ρ, θ, m)-invexities are introduced, and then a set of higher-order parametric necessary optimality conditions and several sets of higher order sufficient optimality conditions for a discrete minmax fractional programming problem applying various higher order (Φ, η, ω, π, ρ, θ, m)-invexity constraints are established. The obtained results are new and generalize a wide range of results in the literature. Keywords: Discrete minmax fractional programming, (Φ, η, ω, π, ρ, θ, m)-invex functions, necessary optimality conditions, sufficient optimality conditions.Download Full Article |
