Common Fixed Point Theorem for Expansive Mappings in G-Metric Spaces

In this paper, we introduce the concept of compatible and compatible mapping of type (A) in G-metric space akin to compatible and its type (A) in metric space introduced by Jungck and Jungck et.al and then establishes an example to show their independency. Further, we prove a common fixed point theorem for two pair of expansive mappings which generalize and unify the results of Wang et.al. and Daffer et.al. Examples are given to support the generality of our result. Finally, we elaborate our theorem as an application in product space.