Optimality conditions for proper efficient solutions of vector set-valued optimization

Based on the concept of an epiderivative for a set-valued map introduced in J. Nanchang Univ. 25 (2001) 122–130, in this paper, we present a few necessary and sufficient conditions for a Henig efficient solution, a globally proper efficient solution, a positive properly efficient solution, an f -efficient solution and a strongly efficient solution, respectively, to a vector set-valued optimization problem with constraints.  2003 Elsevier Inc. All rights reserved.