Abstract: The(u，02；Y+)-generalized subconvexlike set-valued maps are introduced，and the alternative theorem of the maps is established in ordered linear spaces.Applying the theorem，the optimality necessary conditions and suficient condi· tions for the weak eficient solutions to the set-valued optimization problems with generalized inequality constraints are ob· rained in ordered linear spaces.

Key words: ordered linear spaces；set·valued optimization problems； (u, 02；Y+)一generalized subconvexlike set·valued maps；the alternative theorem；optimality conditions

摘要： 在序线性空间中，引入(“，0：；Y+)一广义次似凸集值映射，建立了此映射下的一个择一定理.利用此定理，在 序线性空间中获得了带广义不等式约束的集值优化问题弱有效解的最优性必要条件和充分条件.

关键词: 序线性空间, 集值优化问题, (Ⅱ, 0：, Y+)一广义次似凸集值映射, 择一定理, 最优性条件.