By using the compatible and subcompatible conditions of self-mapping pair in metric spaces,the existence of common fixed point for a class of contractive mappings in complete metric spaces was discussed.A new common fixed theorem is obtained.

• 利用度量空间中自映象对相容和次相容的条件；讨论了完备度量空间中一类压缩映象的公共不动点的存在性与唯一性；得到一个新的公共不动点定理.