Duality for Vector Optimization Problems with Cone Constraints Involving Support Functions

Priyanka Yadav

Abstract: In this work; first and higher order duality is discussed for vector optimization problems with cone constraint where every component of the objective function contains a term involving the support function of a compact convex set. It is an attempt to remove certain omissions and inconsistencies in the work of Kim and Lee (Nonlinear Anal. Theory Meth. Appl.71 (2009) ; 2474-2480).

Keywords: vector optimization, cones, Mond-Weir dual, invexity, quasi- pseudo invexity, higher order type I functions, higher order pseudoquasi-type I functions, higher order F, type I functions, higher order F, -pseudoquasi-type I functions