Abstract
In this paper, we prove a unique common coupled fixed point theorem for two pairs of w-compatible mappings in S b -metric spaces. We also furnish an example to support our main result.
Highlights
In 2012, Sedghi et al [1] introduced the notion of S-metric space and proved several results.Some other authors worked on this (e.g., [2,3,4,5,6])
Sedghi et al [1] defined Sb -metric spaces using the concepts of S and b-metric spaces and proved common fixed point theorem for four maps in Sb -metric spaces
Bhaskar and Lakshmikantham [13] introduced the notion of coupled fixed point and proved some coupled fixed point results as well
Summary
In 2012, Sedghi et al [1] introduced the notion of S-metric space and proved several results.Some other authors worked on this (e.g., [2,3,4,5,6]). The aim of this paper is to prove a unique common coupled fixed point theorem for four mappings in Sb -metric spaces. ([1]) A Sb -metric space (X, Sb ) is called complete if every Sb -Cauchy sequence is Sb -convergent in X.
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