Generalized nonsmooth cone convexity in terms of convexifactors in vector optimization

摘要

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.