Role of Higher Order （φ， η, ζ, ρ， θ, m）-invexity and Parametric Optimality Conditions in Discrete Minmax Fractional Programming

摘要

Based on current advances in mathematical programming and aplications, first a general class of second order hybrid （φ， η， ω， ρ， θ， m）-invexities is 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 using various second-order hybrid （φ，η， ω， ρ， θ, m）-invexity assumptions are established. This class of hybrid invexities not only gener-alizes/unifies all the concepts for generalized invexities in the literature, but also is more application-oriented.