Some fixed point theorems for contractive conditions in a G-metric space

Abstract

In this paper, some fixed point theorems were proved, to show the existence and  uniqueness of a fixed point under some weaker contractive conditions in a complete G-metric space settings. Moreover, we obtain the G-Cauchy sequence for the unique fixed point. Our results extend and refine some recent results in the literature.

Keywords and Phrases: G-metric, G- Cauchy, G- limit, G-continuous and weak contractive conditions