Menger PM-空间中的多重公共不动点定理

Multipled Common Fixed Point Theorem in Menger PM-Spaces

在Menger PM-空间中对两个混合映射引入了h-ψ-压缩条件,并在一定条件下,证明了这两个混合映射多重公共不动点的存在唯一性,该结果改进和推广了近期的相关结果.

In this paper,we introduce a h-ψ-contractive condition for a pair of hybrid mappings in Menger PM-spaces,and prove the existence and uniqueness of some multipled common fixed point of this contraction.As a result,we obtain some related fixed point theorems,which largely improve and extend some related results that have been published recently in Menger PM-spaces.