A fixed point theorem of Mustafa and Obiedat (2010) is proved for a self-map f on a G-metric space (X,G), using the wellknown infimum property of real numbers without an appeal to the iterative procedure. An additional interesting consequence is that the obtained fixed point is shown as a G-contractive fixed point for f in the sense that the orbit x,fx,…,fnx,… at each x ∈ X is Gconvergent with limit p. © Research India Publications.