A general fixed point theorem for pairs of weakly compatible mappings in G-metric spaces

In this paper a general fixed point theorem in G-metric spaces for weakly compatible mappings is proved, theorem which generalize the results from Abbas et. al. [M. Abbas and B. E. Rhoades, Appl. Math. and Computation 215 (2009), 262 - 269] and [M. Abbas, T. Nazir and S. Radanović, Appl. Math. and Computation 217 (2010), 4094 - 4099]. In the last part of this paper it is proved that the fixed point problem for these mappings is well posed.