Abstract: In locally convex Hausdorff topological vector spaces，strict efficient solutions for the vector optimization problems with set-valued maps are discussed．Firstly，under the generalized cone-subeonvexlike set-valued maps ，property of scalarization of strict efficient solutions for vector opfimization problem is obtained．Finally，Lagrange type optimality conditions of strict eficient solutions for the vector optimization problem with generalized inequality constraints the problem are obtained．

Key words: set-valued maps, strict efficient solutions, scalarization, Lagrance type optimality conditions

摘要： 在局部凸Hausdorff拓扑向量空间中，研究了集值映射向量优化问题的严有效解．首先，在广义锥次似凸集值映射下，获得了向量优化问题的严有效解的标量化的特性，最后，获得了带广义不等式约束向量优化问题的严有效解的Lagrance型最优性条件．

关键词: 集值映射, 严有效解, 标量化, Lagrance型最优性条件