Common Fixed Point Theorems of Altman Integral Type Mappings in G -Metric Spaces

Abstract

We introduce the concept of $\phi$-weakly commuting self-mapping pairs in $G$-metric space. Using this concept, we establish a new common fixed point theorem of Altman integral type for six self-mappings in the framework of complete $G$-metric space. An example is provided to support our result. The results obtained in this paper differ from the recent relative results in the literature.