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

Jierong Yao^1, and Liping Yang¹

¹School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China

Cite this paper:
Jierong Yao and Liping Yang. Some New Fixed Point Theorems of Expanding Mappings in Complete G-metric Spaces. Turkish Journal of Analysis and Number Theory. 2018; 6(6):169-174. doi: 10.12691/tjant-6-6-5

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].

Keywords:
G-metric space expanding mappings fixed point

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