Fixed point theorems under locally $T$-transitive binary relations employing Matkowski contractions
Fixed point theorems under locally $T$-transitive binary relations employing Matkowski contractions
In this paper, we extend the relation-theoretic contraction principle due to Alam and Imdad (J.Fixed Point Theory Appl.17 (2015) 693-702) for Matkowski contractions employing a locally T -transitive binary relation.Our results improve and enrich several fixed point theorems of the existing literature.