本文引进Banach空间中的ε-扩展集和ε-扩展锥概念．借助ε-扩展锥，定义了多目标规划问题的ε-恰当有效解和局部ε-恰当有效解，并且研究了这些解的性质．此外还讨论了ε-恰当有效解与某些其它恰当有效解的关系．

In this paper, the #epsilon#-expanding set and the #epsilon#-expanding cone in Banach space are introduced. With the help of them, the #epsilon#-properly efficient solution and the local #epsilon#-properly efficient solution of multiobjective programming problem are defined and the properties of this solutions are studied. Furthermore, the relations between the #epsilon#-properly efficient solution and some other properly efficient solutions are discussed.