2距离空间中6个自映象的公共不动点定理

A common fixed point theorem of six mappings in 2-metric spaces

在完备的2距离空间中,建立一个新的φ压缩条件,研究了6个相容和次相容自映象的公共不动点的存在性和唯一性,从而得到了一个新的公共不动点定理,改进了相关文献的结果.

In complete 2-metric space,by establishing a new φ-contractive condition,the existence and the uniqueness of common fixed point for six compatible and subcompatible mappings with that contractive condition are discussed.A new common fixed point theorem is obtained,which improves the corresponding results in some references.