Higher-order symmetric duality in nondifferentiable multiobjective fractional programming problem over cone contraints
Ramu Dubey, Deepmala, Vishnu Narayan Mishra
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 higher- order K-(C, α, ρ, d)-convexity/pseudoconvexity assumptions. Next, we prove appropriate duality relations under aforesaid assumptions.
Topics & Concepts
Duality (order theory)ConvexityOrder (exchange)MathematicsCone (formal languages)Type (biology)Pure mathematicsApplied mathematicsMathematical analysisAlgorithmGeologyFinanceEconomicsFinancial economicsPaleontologyOptimization and Variational AnalysisOptimization and Mathematical Programming