Common fixed point results for non-linear contractions in $G$-metric spaces

Hassen Aydi

We establish common fixed point results for three self-mappings on a $G$-metric space satisfying non linear contractions. Also, we prove the uniqueness of such common fixed point, as well as studying the $G$-continuity at such point. Our results extend some known works. Also, an example is given to illustrate our obtained results.