Coincidence point results on a metric space endowed with a locally T -transitive binary relation employing comparison functions

In this paper, we prove coincidence point results for a pair of self mappings defined on a metric space employing a comparison function and a locally T -transitive binary relation. Our results extend and generalize several known results especially those are contained in Alam and Imdad [Filomat 31 (14) (2017) 4421-4439] and Arif et al . [Miskolc Math. Notes 23 (1) (2022) 71-83]. Finally, we construct some examples to demonstrate the accomplished improvements in our newly proved results in this paper.