... G-continuous at all a Î X.2. Common Fixed Point Theorems In this section, we obtain common fixed point theorems for three mappings defined ona generalized metric space. We begin with the following ... complete G -metric spaces. Fixed Point TheoryAppl2009, 10. Article ID 9171756. Abbas, M, Rhoades, B: Common fixed point results for non-commuting mappings without continuity in generalized metric ... hz)} for all x, y, z Î X. Then f, g, and h have a common fixed point in X. Moreover, any fixed point of f is a fixed point g and h and conversely.Proof. Suppose x0is an arbitrary point in X.Define{xn}byx3n+1=...