  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.

Optimization and Control