We study geometric duality for convex vector optimization problems. For a primal problem with -dimensional objective space, we formulate dual space. Consequently, different from an existing approach, the does not depend on fixed direction parameter, and resulting image is cone. prove one-to-one correspondence between certain faces of images. In addition, show that polyhedral approximation one g...

In this paper, we study the properties of Gerstewitz nonlinear scalar functional with respect to coradiant set and radiant in real linear space. With help nonconvex separation theorem co-radiant set, first obtain that is a special co-radiant(radiant) when corresponding set. Based on subadditivity property convex calculate its Fenchel(approximate) subdifferential. As applications, derive optimal...