Common Fixed Points of Expansive Mappings in Generalized Metric Spaces

In this paper, we establish a common fixed point theorem for expansive mappings by using the concept of weak compatibility in the setting of G -metric spaces. This result generalizes the result of Ahmed [2] from 2-metric spaces to G -metric spaces by removing the condition of sequential continuity of the mappings. Further, we generalize and extend the theorem of Sahin and Telci [20] to G -metric spaces and thereby extending the theorem of Wang et al. [23] for a pair of mappings to G -metric spaces. Some comparative examples are constructed which illustrate the obtained results.