Convergence theorems in G-metric space and its application

Abstract

The present paper is an attempt to prove convergence theorems to a unique fixed point in complete G-metric space. It also provides the consequences of our main result. Furthermore, some up to date results in the setting of G-metric spaces will be improved and supplemented by the convergence theorems. As an application of our results, it also proves some previous theorems as special cases. The results demonstrated in this study unify and enlarge some known results in this area.