Abstract
In this paper, we introduce new classes of K-∂*pseudoconvex, K-∂* quasiconvex and other related functions in terms of convexifactors where K is a closed convex cone with non empty interior. We study their relations with other similar functions existing in literature. We derive necessary and sufficient optimality conditions for a vector optimization problem over cones by using these functions and establish various duality results by associating a dual problem to it.
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