Higher-order symmetric duality in nondifferentiable multiobjective fractional programming problem over cone contraints

Abstract

In this paper, we introduce the definition of higher-order K-(C,α, ρ, d)-convexity/pseudoconvexity over cone and discuss a nontrivial numerical examples for existing such type of functions. The purpose of the paper is to study higher order fractional symmetric duality over arbitrary cones for nondifferentiable Mond-Weir type programs under higherorder K -(C,α, ρ, d)-convexity/pseudoconvexity assumptions. Next, we prove appropriate duality relations under aforesaid assumptions.