Optimality conditions for ε-weak local quasi-efficient solutions of D.C. vector optimization problems

Abstract In this paper, we address a non-convex vector optimization problem, in which the objective function and constraints are defined as differences of convex vector-valued maps. By employing a separation argument, we derive necessary optimality conditions, expressed in terms of ε-regularized subdifferentials, for a point to be an ε-weak local quasi-efficient solution. To ensure the paper is self-contained, we also present sufficient optimality conditions and provide examples to illustrate the results.