Meir–Keeler Type Contraction in Orthogonal <i>M</i>-Metric Spaces

Abstract

In this article, we prove fixed point results for a Meir–Keeler type contraction due to orthogonal M-metric spaces. The results of the paper improve and extend some recent developments in fixed point theory. The extension is assured by the concluding remarks and followed by the main theorem. Finally, an application of the main theorem is established in proving theorems for some integral equations and integral-type contractive conditions.

Keywords

• fixed point
• orthogonal set
• orthogonal metric spaces
• orthogonal M-metric space
• metric spaces