Abstract: Benson proper eficient solution for vector extremum problems is the most important aspect of optimization problems，and it has drawn lots of attention．In ordered topological vector spaces，by applying characterizations of G-diferentiable function and Theorem 4．1 of Ref[1]，several optimality necessary conditions and suficient conditions of Benson proper eficient soluton for diferentiable vector extremum problems with set constraint are obtained．

Key words: vector extremum problems, Benson proper eficient solution, G-diferentiable, optimality conditions

摘要： 向量极值问题的Benson真有效解，是优化问题的一个最重要的方面，吸引了许多关注的目光．在序拓扑向量 空间中，运用G一可微函数的性质和文献[1]中的定理4．1，获得了带集合约束的可微向量极值问题的Benson真有效 解的几个最优性必要条件和充分条件．

关键词: 向量极值问题, Benson真有效解, G．可微, 最优性条件