Some coupled coincidence and coupled common fixed point result in dislocated quasi b-metric spaces for rational type contraction mappings

Document Type : Research Paper

Authors

1 Department of Mathematics, College of Natural and Computational Science, Samara University, Samara,Ethiopia

2 Department of Mathematics, Jimma University, Jimma, Ethiopia

Abstract

The aim of this paper is to establish coupled coincidence and coupled common fixed point theorems involving a pair of weakly compatible mappings satisfying rational type contractive condition in the setting of dislocated quasi b-metric spaces. The presented result improves and generalizes several well-known comparable results in the existing literature. We also provided an example in support of our main result.

Keywords