Advanced Parametric Duality Models for Discrete Minmax Fractional Programming Based on Second-Order Optimality

Abstract

This paper deals with the significant role of advanced higher-order parametric duality models for a discrete minmax fractional programming problem regarding higher-order necessary and sufficient optimality conditions. Several higher-order duality models are formulated and investigated along with weak, strong, and strict converse duality theorems applying some new classes of higher-order invex functions. To the best of our knowledge, the obtained results are new and have a wide range of applications to interdisciplinary research in nature. © 2022, International Publications. All rights reserved.