second order duality results for multiobjective programming problems under second order (φ, ρ)-invexity

In this paper, new generalized invexity concepts for twice differentiable functions are introduced. the so-called second order (φ, ρ)-invexity generalizes many classes of second order generalized convexity notions existing in the literature. second order multiobjective dual problems in the format of mond-weir and in the format of wolfe are formulated for the considered differentiable vector optimization problem and several second order duality results are established under second order (φ, ρ)-invexity. with the reference to the said functions, we extend some results of second order duality for a larger class of vector optimization problems with nonconvex twice differentiable functions.