Second-Order Duality for Multi Objective Programming involving (ρ)-Invexity

The concepts of ( , ρ)-invexity have been given by Caristi, Ferrara and Stefanescu[1]. We consider a second-order dual model associated to a multiobjective programming problem involving support functions and a weak duality result is established under appropriate second-order ( , ρ)-invexity conditions. AMS 2002 Subject Classi cation: 90C29, 90C30, 90C46. Key words: Higher-order ( ,ρ)-(pseudo/quasi)-convexity/invexity, multiobjective programming, second-order duality, duality theorem.