Marzieh Ahmadi Baseri - Department of Mathematics, Yazd University, Yazd, Iran.
H. Mazaheri - Department of Mathematics, Yazd University, Yazd, Iran.

The aim of this paper is to define the concepts of remotest points and approximate remotest points in G-metric spaces and obtain some existence results on these concepts. In particular, we define G-remotest points and G-ϵ-approximate remotest points by considering a cyclic map and prove some results in G-metric spaces.

G-remotest points, G-ϵ-approximate remotest points, Cyclic maps, G-metric spaces