Higher Order Duality for Vector Optimization Problem over Cones Involving Support Functions

Abstract

In this paper, we consider a vector optimization problem over cones involving support functions in  objective as well as constraints and associate a unified higher order dual to it.  Duality result have been established under the conditions of higher order cone convex and related functions.  A number of previously studied problems appear as special cases.

Keywords: Vector optimization, Cones, Support Functions, Higher Order Duality.