Abstract
In this paper several fixed point theorems for a class of mappings defined on a complete G-metric space are proved. In the same time we show that if the G-metric space (X, G) is symmetric then the existence and uniqueness of these fixed point results follows from the Hardy Rogers theorem in the induced usual metric space (X, d(G)). We also prove fixed point results for mapping on a G-metric space (X, G) by using the Hardy Rogers theorem where (X, G) need not be symmetric.