The contractive mappings in the vector space, which is with vector norm are defined by a map on the vector lattice. And a fined-point theorem is obtained.

• 摘要在具有向量值范数的实向量空间上，通过引入一个定义在向量格上的特殊映射来讨论压缩映射，并证明相应的不动点定理。