On second-order duality for a class of nondifferentiable minimax fractional programming problem with (C,α,ρ,d)-convexity

Abstract

In this paper, we derive appropriate duality theorems for three second-order dual models of a nondifferentiable minimax fractional programming problem under second-order (C,α,ρ,d)-convexity assumptions. A nontrivial example has also been exemplified to show the existence of second-order (C,α,ρ,d)-convex functions. Several known results including many recent works are obtained as special cases.