Generalized Higher Order Hybrid Invexities with Second-Order Parametric Optimality Criteria for Discrete Minmax Fractional Programming

摘要

First, a class of second order hybrid (φ,ζ,ρ,θ,m)-invexities is introduced, and then a set of second-order parametric necessary optimality conditions and numerous sets of second-order sufficient optimality conditions for a discrete minmax fractional programming problem using various second-order hybrid (φ,ζ,ρ,θ,m)-invexity assumptions are established. The class of hybrid invexities not only generalizes all the concepts for generalized invexities in the literature, but also is significantly oriented toward applications.