对称空间中的重合点和公共不动点定理

Coincidence and Common Fixed Point Theorems in Symmetric Spaces

利用对称空间中的一个新的(Ag)型弱相容映像的条件,讨论了对称空间中重合点的存在性和公共不动点的存在唯一性问题.证明了几个满足性质(E-A)和(Ag)型弱相容映像的新的公共不动点定理,并给出了验证和说明文章结果的实际例子.这些结果改进和推广了文献[1-3]中的一些相关结果.

The paper has discussed the existence of coincidence as well as the existence and uniqueness of common fixed point in symmetric spaces by using the（Ag）type weakly compatible condition of mappings in symmetric spaces.It also has proved some new common fixed point theorems for satisfing property（E-A）and（Ag）type weakly compatible mappings,and provided illustrative examples which verify the utility of the results proved in this paper.The theorems can improve and extend some related results of [1-3].