WANGWE, LUCAS2024-09-062024-09-062024-04-15https://repository.must.ac.tz/handle/123456789/168This paper aims to demonstrate the common fixed point theorem for interpolative rational-type contraction mapping in complex-valued metric spaces. Also provide an example for verification of the proven results. Further, as an application, the paper proves the existence and uniqueness solution of the R 􀀀 L 􀀀 C differential equation.enArticle