在完备度量空间中,利用自映象对的相容和次相容性条件,讨论了一类仁型压缩映象的公共不动点的存在性和唯一性问题,证明了一个新的公共不动点定理.文章结果改进和发展了Jungck,Diviccaro和Ses—sa,Kang,Cho和Jungck以及Ding的相关结果.
In the complete metric space, by using the compatibility and weak compatibility condition of self mapping pair, the paper discussed the existence and uniqueness of the common fixed point of a class of Ф-type contraction mapping and obtained a new common fixed point theorem. These results improve and develop the relevant results of Jungck, Diviccaro and Sessa, Kang, Cho and Jungck and Ding.