Fixed point theorems for weakly compatible mappings under implicit relations in quaternion valued G-metric spaces

Abstract

In this paper, we established some common fixed point theorems of four self-mappings in completed quaternion valued G−metric space. Moreover, we gave an example of completed quaternion valued G−metric space and example for supporting our main results. The results obtained in this paper extend and improve some recent results.

Keywords

• quaternion valued g−metric space
• common fixed point
• weakly compatible mapping
• implicit relation
• coincident point