Second-Order Parameter-Free Duality Models in Semi-Infinite Minmax Fractional Programming

Abstract

In this article, we construct and discuss several second-order parameter-free duality models for a semi-infinite minmax fractional programming problem and establish appropriate duality results under various generalized second-order (ℱ, β, φ, ρ, θ)-univexity assumptions.

Keywords:

• Discrete minmax fractional programming
• Duality theorems
• Generalized (ℱ β φ ρ θ)-univex functions
• Infinitely many equality and inequality constraints
• Parameter-free duality models
• Semi-infinite programming

Mathematics Subject Classification:

• 49N15
• 90C26
• 90C30
• 90C32
• 90C34
• 90C47