Abstract:
Rational type cyclic contraction via $\mathcal{C}$-class function is established in $G$-metric spaces, which can not be reduced to the contractive condition in standard metric spaces. A common fixed-point result is obtained for the pair of $(A, B)$-weakly increasing mappings in $G$-metric spaces.
Keywords:G-metric spaces, Cyclic maps, $\mathcal{C}$-class function, Common fixed point.