Abstract
This paper is devoted to theoretical aspects in nonlinear optimization, in particular, duality relations for some mathematical programming problems. In this paper, we introduce a new generalized class of second-order multiobjective symmetric G-Wolfe-type model over arbitrary cones and establish duality results under Gf -bonvexity/Gf -pseudobonvexity assumptions. We construct nontrivial numerical examples which are Gf -bonvex/Gf -pseudobonvex but neither.-bonvex/.-pseudobonvex nor eta-invex/eta-pseudoinvex.