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

K. Rauf, B. Y. Aiyetan, D. J. Raji, R. U. Kanu

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


G-metric, G- Cauchy, G- limit, G-continuous and weak contractive conditions.

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