利用b-度量空间中自映象对相容和弱相容的条件,讨论了b-度量空间中一类映象的公共不动点的存在性和唯一性问题,得到了一个新的公共不动点定理,所得结果推广和改进了度量空间中的已有结论.
This paper aims to utilize the compatible and weakly compatible conditions of self-mapping pair, discuss the existence and uniqueness of common fixed point for a class of mappings in b-metric spaces, and obtain a new common fixed point theorem. Meanwhile the existing conclusions in metric spaces are generalized and improved.