In this paper we prove some fixed point results for mapping satisfying sufficient contractive conditions on a complete G-metric space, also we showed that if the G-metric space (X, G) is symmetric, then the existence and uniqueness of these fixed point results follows from Reich theorems in usual metric space (X, dG), where (X, dG) the metric induced by the G-metric space (X, G).
@article{1428,
title = {A Fixed Point Theorem of Reich in G-Metric Spaces},
journal = {CUBO, A Mathematical Journal},
volume = {12},
year = {2010},
language = {en},
url = {http://dml.mathdoc.fr/item/1428}
}
Mustafa, Zead; Obiedat, Hamed. A Fixed Point Theorem of Reich in 𝐺-Metric Spaces. CUBO, A Mathematical Journal, Tome 12 (2010) . http://gdmltest.u-ga.fr/item/1428/