  In this paper, we present a variant of Boyd-Wong fixed point theorem in a
metric space equipped with a locally T-transitive binary relation, which under
universal relation reduces to Boyd-Wong (Proc. Amer. Math. Soc. 20 (1969)
458-464) and Jotic (Indian J. Pure Appl. Math. 26 (1995) 947-952) fixed point
theorems. Also, our results extend several other well-known fixed point
theorems such as: Alam and Imdad (J. Fixed Point Theory Appl. 17 (4) (2015)
693-702) and Karapinar and Roldan-Lopez-de-Hierro (J. Inequal. Appl. 2014:522
(2014) 12 pp) besides some others.
