common fixed point theorems under implicit contractive condition using e. a. property on metric-like spaces employing an arbitrary binary relation with some application

In this paper, parallel to the ideas based on ahmadullah et al. [4, 5, 6], and eke et al. [18], we prove the existence and uniqueness of the common fixed point for a pair of self-mappings employing (e. a.)-property in metric-like spaces for implicit contractive mappings related to binary relation. henceforth, results obtained will be verified with the help of illustrative examples. as an application of the results, we solve two boundary value problems of the second-order differential equation.