Hybrid (φ, η, p, θ, m)-invexity and Higher-Order Parametric Optimality Conditions in Discrete Minmax Fractional Programming

摘要

First, a general class of second order hybrid (φ, η, p, θ, m)-invexities is introduced, and then a set of higher-order parametric necessary optimality conditions and numerous sets of higher-order sufficient optimality conditions for a discrete minmax fractional programming problem using various second-order hybrid (φ, η, p, θ, m)-invexity assumptions are established. This class of hybrid invexities not only generalizes/unifies all the concepts for generalized invexities in the literature, but also is more application-oriented.