Common fixed point theorems for six self-maps in b -metric spaces with nonlinear contractive conditions

In the framework of a b-metric space, by using the compatible and weak compatible conditions of self- mapping pair, we discussed the existence and uniqueness of the common fixed point for a class of ϕ -type contraction mapping, some new common fixed point theorems are obtained. In the end of the paper, we give some illustrative examples in support of our new results. The results presented in this paper extend and improve some well-known comparable results in the existing literature.