Abstract
The Banach fixed point theory is one of the important results in pure mathematics that Banach proved in 1922. This theory was expanded by several authors in different areas by introducing different contraction conditions. In this work, we extend the Banach fixed point theorem in modular metric spaces by investigating contractive conditions involving integral types. More precisely, we prove some existence and uniqueness theorems of a common fixed point of self mappings satisfying contraction conditions of the integral type. Then, we state some corollaries, and examples to illustrate the validity of our results.