Common fixed point for generalized weakly G -contraction mappings satisfying common ( E . A ) property in G -metric spaces

摘要

In this paper, using the concept of common ( E . A ) property, we prove some common fixed point theorems for three pairs of weakly compatible self-maps satisfying a generalized weakly G-contraction condition in the framework of a generalized metric space. Our results do not rely on any commuting or continuity condition of mappings. An example is provided to support our result in nonsymmetric G-metric space.