Abstract: In locally convex Hausdorf topological vector spaces，strongly eficient solutions for the set-valued optimization were discussed．Under the generalized cone-subconvexlike set-valued maps，characterizations of scalarization for strongly efficient solutions of set-valued optimization are obtained．Then，Lagrange type optimality conditions for strongly eficient solutions of the set-valued optimization with generalized inequality constraints ale obtained．

Key words: set-valued optimization, strongly eficient solutions, scalarization, Lagrange type optimality conditions

摘要： 在局部凸Hausdorf拓扑向量空间中，研究了集值优化问题的强有效解．首先，在广义锥次似凸集值映射下，获 得了集值优化问题的强有效解的标量化的特性，最后，获得了带广义不等式约束集值优化问题的强有效解的La— grange型最优性条件．

关键词: 集值优化, 强有效解, 标量化, Lagrange型最优性条件