Global efficiency in multiobjective optimization

In this short technical note, the authors present five sufficient conditions to guarantee a local efficient (resp., weakly efficient, properly efficient in the sense of Benson, properly efficient in the sense of Borwein, properly efficient in the sense of Henig and properly efficient in the sense of Hartley) solution of a general multiobjective optimization problem to be a corresponding solution of such problem. These theorems generalize and unify several existing results in this field.