A unified fixed point result along with error estimation and propagation in the fixed point iteration (Q6108931)

A fixed point result is obtained for a mapping acting in a metric space equipped with a binary relation under a contractive condition using a simulation function and a rational expression. Under an additional condition, the uniqueness of the fixed point is obtained. The results are illustrated by an example and it is shown that the error of \(n\)-th iteration diminishes with \(n\).