Some New Common Fixed Point Theorems under Strict Contractive Conditions in G-Metric Spaces

Abstract

We introduce some new types of pairs of mappings $(f,g)$ on G-metric space called G-weakly commuting of type ($A_f$) and G-R-weakly commuting of type ($A_f$). We obtain also several common fixed point results for these mappings under certain contractive condition in G-metric space. Also some examples illustrated to support our results, and comparison between different types of pairs of mappings are studied.