A fixed point theorem of Reich in \(G\)-Metric spaces

Abstract

In this paper we prove some fixed point results for mapping satisfying sufficient contractive conditions on a complete G-metric space, also we showed that if the G-metric space (X, G) is symmetric, then the existence and uniqueness of these fixed point results follows from Reich theorems in usual metric space (X, d_G), where (X, d_G) the metric induced by the G-metric space (X, G).