b-度量空间中Φ-弱交换映像的公共不动点定理

Common Fixed Point Theorem of Φ-weak Commuting Mappings in b-metric Spaces

在完备b-度量空间的框架下,利用自映像对Φ-弱交换的条件,讨论了一类新的压缩型映像公共不动点的存在性和唯一性问题,获得了一个新的公共不动点定理,所得结果是b-度量空间中公共不动点理论的进一步发展和完善.

In the framework of complete b-metric space, by using the Ф-weak commuting condition of self-mapping pairs, the existence and uniqueness of common fixed point for a class of new contractive mappings was discussed. A new common fixed point theorem is obtained. The result further developed and improved the common fixed point theories in b-metric space.