Fixed point theorems on cone S-metric spaces using implicit relation

Abstract

In this paper, we establish some fixed point theorems in the framework of cone $S$-metric spaces using implicit relation. Our results extend, unify and generalize several results from the current existing literature. Especially, they extend the corresponding results of Sedghi and Dung [24] to the setting of complete cone $S$-metric spaces.

Keywords

• fixed point
• implicit relation
• cone
• cone s-metric space