This paper aims at studying, in the image space, an approximation of a vector optimization problem obtained by substituting the involved functions with their G-derivatives. It is shown that, under the hypothesis of G-differentiability, the existence of a semistationary point is equivalent to the...

In this paper a generalized format for a constrained extremum problem is considered. Subsequently, the paper investigates and deepens some aspects concerning the linear separation between two sets in the Euclidean space, that are a convex cone and a generic set. A condition equivalent to their...

In this paper we consider a vector optimization problem; we present some scalarization techniques for finding all the vector optimal points of this problem and we discuss the relationships between these methods. Moreover, in the linear case, the study of dual variables is carried on by means of...