Nonconvex vector optimization of set-valued mappings

摘要

In this paper, we discuss properties, such as monotonicity and continuity, of the Gerstewitz's nonconvex separation functional. With the aid of this functional, necessary and sufficient optimality conditions for nonconvex optimization problems of set-valued mappings are obtained in topological vector spaces. (C) 2003 Elsevier Inc. All rights reserved. [References: 10]