考察了满足带有控制项的膨胀条件的两个映射, 利用新的方法和思路证明了满足第II及第III膨胀条件的两个映射的重合点和公共不动点的存在定理. 所得结果进一步推广和改进了文献中的相应结论.

We consider two mappings satisfying expansive conditions with controlling items and use new method and idea to prove existence theorems of coincidence points and common fixed points for two mappings satisfying II-expansive and III-expansive conditions. The obtained results further generalize and improve the corresponding conclusions in references.