一类φ-压缩映射的公共不动点定理及其迭代收敛性

Common fixed point theorem for a class of mapping of φ-contraction and iterative convergence

利用拓扑空间的性质和一些分析技巧，讨沦了两个可交换的映射的公共不动点问题，证明了几个新的公共不动点定理，推广和改进了文献[1]～[10]的相关结果。特别在文章定理1和推论1以及推论2中，并不要求单个映射是连续的，只需要复合映射连续就可以了。

By virtue of the property of topological space and some analytical techniques, a problem of common fixed point was studied for a class of mapping of φ-contraction and then some new fixed point theorems were proved. The results of the relevant references（[1]-[10]） are extended and improved. Especially, we need only the composition map which is continuous in theoreml, corollaryl and corollary2.