Relation-Theoretic Coincidence and Common Fixed Point Results in Extended Rectangular <i>b</i>-Metric Spaces with Applications

Abstract

The objective of this paper is to obtain new relation-theoretic coincidence and common fixed point results for some mappings F and g via hybrid contractions and auxiliary functions in extended rectangular b-metric spaces, which improve the existing results and give some relevant results. Finally, some nontrivial examples and applications to justify the main results.

Keywords

• coincidence point
• common fixed point
• relation-theoretic
• auxiliary functions
• hybrid contractions
• extended rectangular <i>b</i>-metric space