Some New Fixed Point Theorems of Expanding Mappings in Complete G-metric Spaces

Abstract

In this paper, we obtain some fixed point theorems of expanding mappings in G-metric spaces. And the existence and uniqueness of the fixed point and common fixed point of some expansive mapping in the complete G-metric space are discussed. The results not only directly improve and generalize some fixed point results in G-metric spaces, but also expand and complement some previous results in the papers by Asadi, et al. [1] and Lei et al. [2].