Second-order optimality conditions for multiobjective optimization problems with constraints

Abstract: In this paper, we introduce the second-order subdifferentials for functions which are G^ateaux differentiable on an open set and whose G^ateaux derivative mapping is locally Lipschitz. Based on properties of this kind of second-order subdifferentials and techniques of variational analysis, we derive second-order necessary conditions for weak Pareto efficient solutions of multiobjective programming problems with constraints.