SOME FIXED POINT THEOREMS FOR CONTRACTIVE CONDITIONS IN A G-METRIC SPACE.

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. [ABSTRACT FROM AUTHOR]