Fixed point results on complete G-metric spaces

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.